A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, O'max, is: O 0.4 rad/s O 0.1 rad/s O 0.2 rad/s 0.05 rad/s 0.8 rad/s

A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s. The maximum angular speed, O'max, is: O 0.4 rad/s O 0.1 rad/s O 0.2 rad/s 0.05 rad/s 0.8 rad/s

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter11: Dynamics Of Rigid Bodies

Section: Chapter Questions

Problem 11.32P

See similar textbooks

Related questions

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. pendulum is at its equilibrium…

A: Let the velocity of the pendulum is given by v. Let the length of the string is given by l. Let the…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

A: Given, Mass of pendulum bob, m = 0.8 kg Length, L=1.4 m Angular displacement, θt=0.11cosωt…

Q: A thin rod of length 0.75 m and mass 0.42 kg is suspended freely from one end. It is pulled to one…

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. At t 0, the pendulum is at its…

Q: The pendulum is composed (m-8kg, L-2m).The pendulum position shown. 2 m 2 m by two identical rods is…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its…

A: The kinetic energy of a pendulum is always maximum at the equilibrium position so, the maximum…

Q: A giant toy car with big wheels has a total mass (including the wheels) of 0.21 kg. The car has 4…

A: Given data: Mass of the car, m=0.21 kg Radius of each wheel, r=3.3 m Moment of inertia of each…

Q: The angle that a swinging simple pendulum makes with the vertical obeys the equation () = (0.150…

A: The general equation for the angle made at any time by a simple pendulum is θ(t)=θ0cosωt+φwhere ω…

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = O, the pendulum is at its…

A: Dear student, According to the guidelines I am allowed to answer only one…

Q: .25kg harmonoc oscillator has a total mechanical energy of 4.0 J. If the oscillation amplitude is 20…

A: We know that Conservation of energy of the spring E=KE+PEspringE=12mv2+12kx2

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length…

A: The mechanical energy of a pendulum is always constant as long as the pendulum follow the simple…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: X A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its…

A: Given data: Length of pendulum string (L) = 50 cm = 0.5 m Initial velocity (V) = 0.1 m/s Maximum…

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. At t 0, the pendulum is at its…

A: Give Length of the string is L=2 m Maximum velocity is vmax=0.2 m/s

Q: A simple pendulum is made of a 2 m- string and a bob of mass m. At t = 0, the pendulum is at its…

A: Given: Mass of the Bob = m; Length = 2m Initial velocity Vi = 0.2 m/s

Q: A thin rod of length 1.3 m and mass 190 g is suspended freely from one end. It is pulled to one side…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

A: Given Mass m=0.8 kg Length of the string is L=1.4 m Acceleraiton due to gravity is g=9.80 m/s2

Q: A simple pendulum having a 1-m long string oscillates in a vertical plane such that at a particular…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t =0, the pendulum is at its…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

A: The given values are written below with appropriate variables. Here, m denotes the mass, L denotes…

Q: A simple pendulum is made of a 50 cm- string and a bob of mass m. At t = 0, the pendulum is at its…

A: Write a given value of this question. Amplitude of the bob. A=50cm=0.50m Maximum velocity at t=0s.…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a lengthL…

A: Given : m=0.8kg L=1.4m g=9.8m/s2 The angular displacement of the pendulum…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: A simple pendulum is made of a 2 m- string and a bob of mass m. At t = 0, the pendulum is at its…

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the %3D pendulum is at…

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its…

A: Given: Pendulum string length, r=2 m Bob's mass→m Initial velocity, v=0.2 m/s

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its…

Q: A simple pendulum is 0.42 m long. At t = 0 it is released from rest starting at an angle of 13°.…

A: Solution: Given that L = 0.42 m starting angle = θ = 13°

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = O, the pendulum is at its…

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its…

A: GivenString length = 50 cmInitial velocity v = 0.2 m/s

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

A: Given Mass of bob is m=0.8 kg Length of the cord is L=1.9 m Acceleration due to gravity is g=9.80…

Q: A simple pendulum is formed of a rope of length L = 1.6 m and a bob of mass m. When the pendulum…

A: Length of the rope,l=1.6 m Angle=10⁰ Speed of the bob = 2 m/s

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its…

A: Given that:- Length of string=2m

Q: The smooth particle has a mass of 108.23 g. It is attached to an elastic cord extending from O to P…

A: Given data:- The smmoth particle mass = 108.23 g The horizontal circular path r = 0.8sinθ m The…

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its…

A: Given : Length L = 2 m Initial velocity v= 0.2 m/s Mass = m kg We have to calculate the Maximum…

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the pendulum is at its…

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t= 0, the pendulum is at its…

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its…

A: Length of string, L=50cm⇒0.5m Initial velocity at equilibrium position, v=0.2m/s

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L =…

Q: A simple pendulum is made of a 2 m-string and a bob of mass m. Att = 0, the pendulum is at its…

A: Length = 2m At t=0 , v=0.2m/s So Vmax = 0.2 m/s

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = O, the pendulum is at its…

A: The angular velocity is given by, ω=vr Here, length of string of simple pendulum works as radius.…

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = 0, the pendulum is at its…

A: v =0.2m/s Length (R) = 50cm = 0.5m

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t = O, the pendulum is at its…

Q: A simple pendulum consists of a 0.8-kg bob connected to a massless inextensible cord with a length L…

Q: A thin rod of length 1.1 m and mass 150 g is suspended freely from one end. It is pulled to one side…

Q: A simple pendulum is made of a 50 cm-string and a bob of mass m. At t 0, the pendulum is at its…

A: Given: L = 50 cm = 0.5 m; Mass = m; Initial velocity = 0.2 m/s

Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

EkamI
Classwork for PHYS220-C-RafifE X
s.google.com/forms/d/e/1FAlpQLSdta4oACdmvPH7iqnDSbvU-HUGSSZRZŁDLJOSVSPUCM_Gwyxw/formRespo..
A simple pendulum is made of a 2 m-string and a bob of mass m. At t = 0, the
pendulum is at its equilibrium position and is given an initial velocity v = 0.2 m/s.
The maximum angular speed, O'max, is:
0.4 rad/s
O 0.1 rad/s
0.2 rad/s
0.05 rad/s
O 0.8 rad/s
inextensible cord with a length L = 1.4 m. The bob is set into motion and its
iuon hu Alt) =0 11cos(wt), where e is in radians andt is
A simple pendulum consists of a O.8-kg bob connected to a massless
%3D

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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 pendulum with a period of 2.00000 s in one location (g=9.80m/s2) is moved to a new location where the period is now 1.99796 s. What is the acceleration due to gravity at its new location?
Some people modify cars to be much closer to the ground than when manufactured. Should they install stiffer springs? Explain your answer.
If a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?
The mechanical energy of an undamped block-spring system is constant as kinetic energy transforms to elastic potential energy and vice versa. For comparison, explain what happens to the energy of a damped oscillator in terms of the mechanical, potential, and kinetic energies.
Check Your Understanding Identify one way you could decrease the maximum velocity of a simple harmonic oscillator.
Check Your Understanding Identify an object that undergoes uniform circular motion. Describe how you could trace the SHM of this object.
Two parakeets sit on a swing with their combined CMs 10.0 cm below the pivot. At what frequency do they swing?
Assume that a pendulum used to drive a grandfather clock has a length L0=1.00 m and a mass M at temperature T=20.00 °C. It can be modeled as a physical pendulum as a rod oscillating around one end. By what percentage will the period change if the temperature increases by 10°C? Assume the length of the rod changes linearly with temperature, where L=L0(1+T) and the rod is made of (=18106C1) .
If a pendulum-driven clock gains 5.00 s/day, what fractional change in pendulum length must be made for it to keep perfect time?
The length of nylon rope from which a mountain climber is suspended has an effective force constant of 1.40104 N/m . (a) What is the frequency at which he bounces, given his mass plus and the mass of his equipment are 90.0 kg? (b) How much would this rope stretch to break the climber’s fall if he free-falls 2.00 m before the rope runs out of slack? (Hint: Use conservation of energy.) (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used.
We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500-kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency , the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (c) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.