The center of mass of a person may be determined by an arrangement such as the one shown in the figure below. A light plank rests on two scales separated by a distance of d = 1.80 m and readingFg1 = 500 N and Fg2 = 260 N. Determine the distance of the girl's center of mass from her feet..616XSince the girl is in static translational and rotational equilibrium, we expect to use both the first and second condition of equilibrium. Since we wish to determine the distance of her center of mass from herfeet, what is a convenient point about which to determine the torques? See if you can write a second condition of equilibrium that relates one of the scale readings and her weight. See if you can write afirst condition of equilibrium that relates both scale readings and her weight. You now have two equations and her weight and center of mass as the two unknowns. See if you can manipulate these twoequations in order to eliminate her weight and determine the distance of her center of mass from her feet. m-1.80 mFg1Fg2

Forces are given as and Distance between scales is Find:Position of center of mass from the…

The center of mass of a person may be determined by an arrangement such as the one shown in the figure below. A light plank rests on two scales separated by a distance of d = 1.80 m and reading Fg1 = 500 N and Fg2 = 260 N. Determine the distance of the girl's center of mass from her feet.

The center of mass of a person may be determined by an arrangement such as the one shown in the figure below. A light plank rests on two scales separated by a distance of d = 1.80 m and reading Fg1 = 500 N and Fg2 = 260 N. Determine the distance of the girl's center of mass from her feet.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 29P

See similar textbooks

Related questions

Q: Suppose the first-order maximum for monochromatic light falling on a double slit is at an angle of…

Q: A concave mirror (R = 57.7 cm) is used to project a transparent slide onto a wall. The slide is…

Q: A 25 g string is under 15 N of tension. A pulse travels the length of the string in 50 ms. Part A…

A: GivenMass of the string is Tension in the string is Time taken for the pulse to travel the length of…

Q: Particle A has half the mass and eight times the kinetic energy of particle B. What is the speed…

A: mA = 0.5mBKA = 8 KB

Q: Consider two equal point charges separated by a distance d. If a third test charge is inserted at a…

A: This question can be solved using the concept of neutral point between two charges. The neutral…

Q: Mars with a period of How (in km) above the surface the planet is (The mass of Mars is 6.42 X…

Q: he magnitude of the bicycle's linear acceleration (in m/s²)? m/s² he angular speed of the wheels (in…

Q: The angular momentum vector of a precessing gyroscope sweeps out a cone as shown in the figure…

A: Given:Precessional frequency, wp= τ /LTime Period, Tp = 2.58 X 104Mass of earth , Me = 5.97 X 1024…

Q: The drawing shows a ray of light traveling through three materials whose surfaces are parallel to…

Q: You hold a softball with a weight of 1.80 N in your hand as shown in the figure. Your arm is moving,…

Q: A spherical wave with a wavelength of 4.0 m is emitted from the origin. At one instant of time, the…

Q: Two particles with charges +4e and -7e are initially very far apart (effectively an infinite…

A: Charge on particle 1 = +4echarge on particle 2 = -7efinal seperation distance ,r =

Q: 3.5 kilograms of water in a container have a pressure of 100 kPa and temperature of 150oC. What is…

Q: Q3:1- Calculate the de Brogli wavelength of electron whose energy 2-Derive the relation of wave…

A: Dear student, Since both questions are completely different as per our company's guidelines we can…

Q: A bicycle generator rotates at 127 rad/s, producing a 15.5 V peak emf. It has a 1.00 by 3.00 cm…

A: Angular speed Generated emf Dimension of the rectangular coil Magnetic field

Q: A counterweight of mass m = 3.60 kg is attached to a light cord that is wound around a pulley as…

Q: A 50.0-kg boy and his 41.0-kg sister, both wearing roffer blades, face each other at rest. The girl…

Q: its path? 3. A box that weighs 120 N sits motionless on a level table, and a 30 N cat is napping on…

Q: You have a diverging mirror of focal length 10cm and an object of height 18cm. Where should you…

A: See below

Q: 7. Find the dot product between a force of 450 N directed at 20° north of east and a displacement of…

A: Magnitude of force F = 450 N Direction of force = 20° north of East Displacement = 15 m to north

Q: A factory worker moves a 21.0 kg crate a distance of 4.80 m along a level floor at constant velocity…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A person struggles to read by holding a book at arm's length, a distance of 41 cm away. What power…

A: The distance of glass from the eyes = 2.1 cmThe distance of the object (book) from the eyes = 41…

Q: Figure 3 y 0 E TE 4 X 2 of 2 ▼ Correct Part C (Figure 2) shows two vectors E and F. What is the…

Q: A typical flying insect applies an average force equal to twice its weight during each downward…

A: The mass of the insect,The downward force applied by the insect,The distance moved for the each wing…

Q: A skier of mass 115 kg travels down a ski trail. Suppose the ski trail is not frictionless. (a) If…

Q: In the figure, point P₂ is at perpendicular distance R = 25.8 cm from one end of straight wire of…

Q: A couple of astronauts agree to rendezvous in space after hours. Their plan is to let gravity bring…

A: mass of the first astronaut, mass of the second astronaut, the separation between the astronaut,

Q: A block of weight w=35.0 N sits on a frictionless inclined plane, which makes an angle = 34.0 with…

Q: 2.) A spinning, flat disk of radius 2.0 m has a tangential velocity at its edge of 4.5 m/s. a.…

Q: A bullet of mass 11.8g is firedinto an intially stationary block and comes to rest in the block .The…

A: The mass of the bullet is 11.8 g.The mass of the block is 1.25 kg.The final speed of the block and…

Q: An object is released from rest by someone standing on a bridge. The object falls without hitting…

A: Time taken, t = 2.1 sInitial velocity, u = 0Acceleration due to gravity, g = 10 m/s²Final velocity,…

Q: The two insulated wires in (Figure 1) cross at a 30° angle but do not make electrical contact. Each…

Q: An electron moves in a circular path perpendicular to a magnetic field of magnitude 0.280 T. If the…

A: Magnitude of magnetic field is Kinetic energy of electron is Electron moves in a circular path…

Q: A car travels along a semicircular curve, as shown in the figure below. The dashed-line arrow…

A: coefficient of static friction, coefficient of kinetic friction, radius of banked curve = RBanking…

Q: A global positioning system (GPS) satellite moves in a circular orbit with period 11 h 58 min.…

A: As per our guidlines we are instructed to answer only 3 sub-parts per session. Kindly post the…

Q: Axle 600 rpm FIGURE P8.37 37. What is the angular momentum about the axle of the 2.0 kg,…

Q: If a negative sign appears in front of the wt term with no negative sign in front of kx in the…

A: Negative sign appears in front of ωt. No negative sign in front of kx. Direction of propagation of…

Q: What is the algebraic expression for efficiency of carnot engine in terms of T_h and T_c? T_h = hot…

Q: the electrical-mechanical analogy, the reciprocal of the capacitance of the capacitor corresponds to…

A: It is possible to make electrical and mechanical systems using analogs. An analogous electrical and…

Q: The cabin noise level of the new Boeing 787 "Dreamliner" may be about 6 decibels lower than that of…

A: The sound level in decibel (dB) scale is defined as:where is the intensity of the sound and is a…

Q: A grinding wheel is in the form of a uniform solid disk of radius 7.02 cm and mass 1.91 kg. It…

Q: part c is incorrect can you re do

A: As you have said part c is wrong so I am answering part c only.

Q: A 2.0kg block rests on a level surface. The coefficient of static friction is μs= 0.60, and the…

Q: At noon, ship A is 70 km west of ship B. Ship A is sailing south at 40 km/h and ship B is sailing…

A: Calculate the total relative velocity along the y-axis.

Q: If a coil of wire in a magnetic field rotates 60 degrees, it provides an emf averaging 3.0 V. If the…

Q: A clinical blood centrifuge operates at ω= 1200 rpm. a.) What is the angular velocity measured in…

Q: I gave you a multiple choice question and you gave me an answer that wasn't even there...

Q: A flywheel with radius of 0.200 m starts from rest and accelerates with a constant angular…

A: The formula for tangential acceleration is, The formula for radial acceleration is, Given,radius of…

Q: An electromagnetic wave of frequency 1E12 Hz is emitted from the surface of the Earth toward a…

A: Emitted frequency of electromagnetic wave f0=Altitude of the satellite above Earth surface Speed of…

Q: (a) Compute the impulse necessary to bring to rest the 48.0 kg driver of an automobile initially…

Concept explainers

Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.

Question

The center of mass of a person may be determined by an arrangement such as the one shown in the figure below. A light plank rests on two scales separated by a distance of d = 1.80 m and reading
Fg1 = 500 N and Fg2 = 260 N. Determine the distance of the girl's center of mass from her feet.
.616
X
Since the girl is in static translational and rotational equilibrium, we expect to use both the first and second condition of equilibrium. Since we wish to determine the distance of her center of mass from her
feet, what is a convenient point about which to determine the torques? See if you can write a second condition of equilibrium that relates one of the scale readings and her weight. See if you can write a
first condition of equilibrium that relates both scale readings and her weight. You now have two equations and her weight and center of mass as the two unknowns. See if you can manipulate these two
equations in order to eliminate her weight and determine the distance of her center of mass from her feet. m
-1.80 m
Fg1
Fg2

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Representation of given system.

VIEW

Step 3: Calculation for the person's weight.

VIEW

Step 4: Calculation for the porision of center of gravity from the feet point.

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 19 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

(a) When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850m from the hinges. What torque are you exerting relative to the hinges? (b) Does it matter if you push at the same height as the hinges?
(a) When opening a door, you push on it perpendicularly with a force of 55.0 N at a distance of 0.850 m from the hinges. What torque are you exerting relative to the hinges? (b) Does it matter if you push at the same height as the hinges? There is only one pair of hinges.
(a) Is it possible to calculate the torque acting on a rigid object without specifying an origin? (b) Is the torque independent of the location of the origin?
Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23
Suppose you exert a force of 180 N tangential to a 0.280-m-radius, 75.0-kg grindstone (a solid disk). (a) What torque is exerted? (b) What is the angular acceleration assuming negligible opposing friction? (c) What is the angular acceleration if there is an opposing frictional force of 20.0 N exerted 1.50 cm from the axis?
A crane of mass m1 = 3 000 kg supports a load of mass m2 = 10 000 kg as shown in Figure P10.36. The crane is pivoted with a frictionless pin at A and rests against a smooth support at B. Find the reaction forces at (a) point A and (b) point B. Figure P10.36
A system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with respect to each other. The masses and distances to the axis of the point particles are m1=0.1kg , r1=0.2m , m2=0.05kg , r2=0.4m , m3=0.5kg , r3=0.01m . (a) What is the moment of inertia of the system? (b) What is the rotational kinetic energy of the system?
The fishing pole in Figure P10.22 makes an angle of 20.0 with the horizontal. What is the torque exerted by the fish about an axis perpendicular to the page and passing through the anglers hand if the fish pulls on the fishing line with a force F=100N at an angle 37.0 below the horizontal? The force is applied at a point 2.00 m from the anglers hands. Figure P10.22
A system of point particles is shown in the following figure. Each particle has mass 0.3 kg and they all lie in the same place. (a) What is the moment of inertia of the system about the given axis? (b) If the system rotates at 5 rev/s, what is its rotational kinetic energy?
Problems 1. A 0.3kg meterstick is suspended motionless by a shark's tooth which is 0.2 meters to the right of the ruler's center of mass, and a toy giraffe which is holding up the left end, 0.5 meters to the left of the center of mass. Fill in the table, and find the force of the giraffe on the meterstick. Meterstick y lacuna torque N? 0.5m 0.2m H Y X
A patient rehabilitating a knee injury performs knee extension exercises while wearing a 35 N weight boot. Calculate the amount of torque about the knee joint generated by the weight boot for each of the four positions shown, given a distance of 0.3 m from the knee joint center to the center of mass of the weight boot. Ignore the weight of the leg. Be sure to provide the correct direction of the torque. 90° P₂0² Poo 30⁰
A dental bracket exerts a horizontal force of 66.2 N on a tooth at point B in the figure. What is the torque on the root of the tooth about point A 0.599 Your response differs from the correct answer by more than 10%. Double check your calculations. N m counterclockwise Gum 48.0° FB 1.20 cm