In the game of tetherball a rope with length L=1.40 m connects a ball with mass m=0.600 kg to the top of a vertical pole so that the ball can spin around the pole as shown in the figure. What is the speed ?v of the ball as it rotates around the pole when the angle θ of the rope is 30.0∘ with the vertical?

Q: A barbell spins around a pivot at its center at A. The barbell consists of two small balls, each…

A: Given- mass of ball , m = 500 g =0.5 kg length of rod , d = 30 cm =0.30 m radius of rotation , r…

Q: A 3.0-kg mass is sliding on a horizontal frictionless surface with a speed of 3.0 m/s when it…

A: Apply the conservation of momentum. mivi=mi+mfvf3×3=3+1vfvf=2.25 m/s

Q: Wi In frame A above, the student spins slowly with his arms outstretched. As he pulls his arms…

A: Angular momentum is conserved because net torque is very small.  Rotational kinetic energy increases…

Q: how fast will the station be spinning?

A: We know if anything is revolving at an angular speed w and radius is r then the acceleration is…

Q: In the figure, two skaters, each of mass 49.2 kg, approach each other along parallel paths separated…

A: The distance between the skaters,

Q: L represents angular momentum, I represents moment of inertia, p represents linear momentum, m…

A:

Q: A large horizontal circular platform (M=98.1 kg, r=3.01 m) rotates about a frictionless vertical…

A: The formula for the angular moment of a particle in rotational motion is:

Q: A 30-kg child sitting 5.0 m from the center of a spinning wheel has a constant speed of 5.0 m / s.…

A: Given: The mass of the child is 30 kg. The distance of the child from the center is 5.0 m. The…

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 4.07…

A:

Q: A basketball starts from rest and rolls without slipping down a hill. The radius of the basketball…

A: Given information: Here, l is the length of the hill and θ is the hill’s inclination angle.

Q: A fan has four blades attached to a central shaft. The blades are lf = 11 cm long and each blade…

A: Given: The mass of each blade is 0.12 kg. The length of the blade is 11 cm. The initial angular…

Q: As shown represents a small, flat puck with mass m = 2.40 kg sliding on a frictionless, horizontal…

A: Dear student, this question contains more than three sub-parts. As per guide lines we will answer…

Q: In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls…

A: Given information:

Q: please answer both questions

A:

Q: A Ferris wheel has moment of inertia 2.2 x 105 kg·m2. From rest, the operator starts the wheel and…

A: The moment of inertia of the wheel I=2.2×105 kg m2 The time for which the wheel accelerates t=13.4 s…

Q: s time we have a non-rotating space station in the shape of a long thin uniform rod of mass 1.20 x…

A: GivenMass of rod, M=1.2×106 kgLength of rod, L=1428 mFor probesMass of small probe, m=6066 kgSpeed…

Q: **A pellet gun is used to shoot 0.58 g pellets at a speed of 280 m/s into a piece of wood of mass M,…

A: In collision as no external force is involved ,so linear momentum remains conserved . Mass of bullet…

Q: compact disk on a CD player rotates clockwise. The disk completes one revolution in 0.286 s. (a)…

A: Given  One revolution = 0.286 sec  Angular velocity,w=??? Speed at distance 6.00 cm from axis of…

Q: A disk rotates freely on a vertical axis with an angular velocity of 30 rpm. An identical disk…

A:

Q: In the figure, a small solid  uniform ball is to be shot from a point P so that it rolls  smoothly…

A: Let v1 be the speed of the ball when it leaves the plateau, g be the acceleration due to gravity, m…

Q: We place a 2.0 m long rod in a vertical position and let it fall. At what speed does the upper end…

A:

Q: The puck in Figure P8.71has a mass of 0.120 kg.Its original distance fromthe center of rotation…

A:

Q: A disk is rotating about a vertical axis of rotation with an initial angular velocity. There are two…

A: According to the relation between linear velocity and angular velocity, we have,  v = r ω ω = vr…

Q: A 0.5-kg stone slides down a frictionless bowl, starting from rest at the rim. The bowl itself is a…

A: Given: mass of stone m = 0.5 kg. radius of hemisphere bowl R = 0.1 m.

Q: A bike (including wheels) and rider have a combined mass of 68.5 kg and the two wheels of the bike…

A: Combined mass of bike and the rider=68.5kgInitial velocity u=3.25m/s∴ Initial kinetic…

Q: A uniform rod of length L = 2.0 m and mass M = 5.0 kg on a frictionless tabletop freely rotates…

A: Given information: Here, l is the distance of the point from the right end of the rod where mass m…

Q: A light rod is 88 cm long. Its top end is pivoted on a low-friction horizontal axle. The rod hangs…

A: Given that:- Length of light rod=88cm

Q: he figure, two particles, each with mass m = 0.80 kg, are fastened to each other, and to a rotation…

A: Given values:- Mass of particle,(m)=0.80 kg ----(1) Rod length,(d)=5.4 cm=5.4 x 10-2 m ----(2) Mass…

Q: without sliding on the track shown in the figure, whose radius is R_0 = 26.0 cm. The sphere begins…

A: Solution:

Q: A ball of mass m = 4kg, radius r = 0.5m and moment of inertia I = 2kgm² rolls (with out sliding)…

A:

Q: A gymnast does cartwheels along the floor and then launches herself into the air and executes…

A: I1=Initial moment of inertia=13.5 kg m2ω1=Initial angular velocity=0.5 rev/sI2=Final moment of…

Q: hat is the angular momentum of a .4kg hula-hoop with a diameter of 1.2m while it rotates at 7 r/s?

A: Given data as per question mass= .4kg diameter  =  1.2m

Q: A solid sphere with radius 0.11 m and mass 2.8 kg rolls without slipping around a track that has…

A:

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 3.21…

A:

Q: A motorcyclist performs uniform circular motion on a globe of death with a radius of 4.00 m. It has…

A: Given, Radius of globe of death ,r = 4.0 m  Speed ,v = 10.9 m/s  Mass = 200 kg  g = 10.0 m/s2

Q: In the figure here, a small, solid, uniform ball is to be shot from point P so that it rolls…

A:

Q: ω_new,z = -5.841 rad/s R= 2.68 m I_1 = 11.1 kg⋅m2 I_2 = 16.6 kg⋅m2 ω_1,z=10.3 rad/s ω2,z=−15.5…

A: Let the axis along the length d be denoted as the y axis, and the axis along the velocity of the mud…

Q: In the game of tetherball a rope with length L 1.50 m connects a ball with mass m = 0.750 kg to the…

A:

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 4.07…

A: Given, Mass of rod, M = 4.07 x 10^6 kg Length of rod, L = 1052 m Mass of probes, m = 9923 kg…

Q: In the figure, two skaters, each of mass 49.2 kg, approach each other along parallel paths separated…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A light, rigid rod is 77.0 cm long. Its top end is pivoted on a frictionless, horizontal axle. The…

A: Length of rod (L) = 77 cm Radius of path = 77 cm H = 2R = 2×0.77 m = 1.54 m

Q: A 3.0-kg mass slides on a frictionless horizontal surface with a speed of 3.0 m / s when it collides…

A: m1=3 kgm2=1 kgu1=3 m/su2=0 m/s Using conservation of linear momentum,…

Q: Chapter 11, Problem 043 In the figure, two skaters, each of mass 55.6 kg, approach each other along…

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: R m 10 The figure above represents a small, flat puck with mass m = 2.40 kg sliding on a…

A: Given Mass of the flat puck, m=2.40kg Radius, R=1.50m Puck speed, v=5.00 m/s Ball mass, mb=1.30kg

Q: 18° The figure shows a thin rod, of length L = 2.20 m and negligible mass, that can pivot about one…

A: Given :L=2.20 mm=8.10 kgθ∘=18° a) The speed of the ball is maximum when it is lowest point.…

Q: A horizontal solid circular plate of mass 60 kg rotates about a vertical axis passing through its…

A: Given that, Mass of the circular plate, M=60 kg Mass of the block, m=60 kg Time period of rotation,…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.