A student sits at rest on a piano stool that can rotate withoutfriction. The moment of inertia of the student-stool system is4.1 kg # m2. A second student tosses a 1.5-kg mass with a speed of2.7 m>s to the student on the stool, who catches it at a distanceof 0.40 m from the axis of rotation. What is the resulting angularspeed of the student and the stool?

Q: Two wheels of moment of inertia 9.7 kg.m2 and 2.1 kg.m2 are set in rotation with angular speed 7.3…

A: Moment of inertia of first wheel , I1 = 9.7 kg m2  Moment of inertia of second wheel , I2 = 2.1 kg…

Q: A figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2 s.…

A: Given, figure skater with outstretched arms spins with an initial rotation rate of 1.0 rev every 1.2…

Q: A disk is rotating at 17 rad/s when a hoop is dropped straight on top of it. The hoop is not…

A: The initial angular speed of the disk is given as ω1=17 rad/s

Q: Figure skater rotating at 5rad/s with arms extended, moment of inertia is 2.25 kg * m^2. The skater…

A: The formula for the angular momentum is:

Q: A merry-go-round has a radius of 2.4 m and a moment of inertia 622 kg · m2. A boy of mass 48 kg runs…

A:

Q: YA R

A: Given: wheel radius = 50 cm                             Force = 15N is applied to Distance…

Q: During a gym session, Ayanda sits on a freely rotating stool holding two dumbbells, each of mass…

A: Given: Mass of each dumbbells, m= 2.50 kg When his arms are extended horizontally, the dumbbells are…

Q: A steam fan in a thermal power plant has a moment of inertia of 3 kg ∙ m2 about its axis of…

A: Given data: Moment of inertia, I=3 kg.m2 Angular frequency, ω=3600 s-1 Time, t=3 s

Q: A 30 kg child stands on the edge of a stationary merry-go-round of mass 100 kg and radius 2.0 m.…

A:

Q: What is the magnitude of the angular momentum of a 500 g, 0.5 m long bar rotating at 60 rpm about an…

A: The expression for the required magnitude angular momentum is,

Q: A 72.0-kg person pushes on a small doorknob with a force of 10N perpendicular to the surface of a…

A: The force applied to the door knob is F = 10 N.The distance between the door knob and the axis of…

Q: A sanding disk with rotational inertia 0.0012 kg-m2 is attached to an electric drill whose  motor…

A:

Q: An ice skater rotates at 2.3 rev/s with arms outstretched. He collects his arms and spins at 15.6…

A: Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the…

Q: In lacrosse, a ball is thrown from a net on the end of a stick by rotating the stick and forearm…

A: Given: The given values are, The given angular velocity of the ball is, ω=35.0 rad/s. And the ball…

Q: A student sits on a rotating stool holding two 3.0-kg objects.When his arms are extended…

A: m = mass of each object = 3.0 kgr = distance of objects from axis of rotation = 1 mIoi = moment of…

Q: A figure skater can increase her spin rotation rate from 28 rpm to 190 rpm.  Given that her initial…

A: Given: Initial rate of rotation ω1= 28 rpm Final rotation ω2=190 rpm The initial moment of inertia…

Q: Conceptual Example 14 provides useful background for this problem. A playground carousel is free to…

A: Given that: Ig=114 kg-m2r1=1.53 mωi=0.607 rad/sr2=0.759 mωf=0.703 rad/s

Q: A student sits on a rotating stool holding two 2.0 kg objects. When his arms are extended…

A: This problem is based upon “Rigid body dynamics”.  Let's solve this problem by using law of…

Q: A car of mass 7,772 kg moves with a speed of 27 m/s on a circular track with a diameter of 797 m.…

A:

Q: A skater has a moment of inertia of 120 kg/m ² when his arms are outstretched and a moment of…

A:

Q: Amelia gives her doll a merry-go-around ride on an old phonograph set at 45 pm. The doll is 17 cm…

A: Given : ω = 45 rpm r = 17 cm = 0.17 m

Q: At time t = 0, a 3.0 kg particle with velocity v = (5.0 m/s)i - (6.0 m/s)j is at x = 3.0 m, y = 8.0…

A: Mass of particle is Velocity is Position coordinates of particle are Force is  acting along…

Q: What is the magnitude of the angular momentum of a 300 g, 2.0 m long bar rotating at 100 rpm about…

A:

Q: A sanding disk with rotational inertia 0.0012 kg-m² is attached to an electric drill whose motor…

A:

Q: An ice skater is spinning at a rate of 2 rad/sec.  She extends her arms and increases her moment of…

A: Initial and final moment of inertia= 1.22 & 2.5 Kgm2

Q: An ice dancer with her arms stretched out starts into a spin with an angular velocity of 2.6 rad/s.…

A: here we can use conservation of angular momentumI1=2.77 kg m2I2=1.62 kg m2ω1=2.6 rad/sω2=?by angular…

Q: Two wheels of moment of inertia 8.9 kg.m2 and 5.0 kg.m2 are set in rotation with angular speed 2.7…

A:

Q: A figure skater can increase her spin rotation rate from 20 rpm to 175 rpm. Given that her initial…

A:

Q: A 1.9-kg hoop rolls without slipping on a horizontal surface so that its center proceeds to the…

A: The objective of the question is to calculate the angular momentum of a hoop rolling without…

Q: 1. A thin stick (m, ) has a pin through the bottom about which it can freely rotate and a massless…

A:

Q: A 200g toy car is placed on a narrow 30cm radiustrack with wheel grooves that keep the car moving in…

A:

Q: A "Lazy Susan" food tray is being rotated by a person in quest of sustenance. Suppose the person…

A: given data force = 2.60 N 0.260 m radius time 0.240 sec mass = 2.80 kg what is the angular velocity…

Q: A 200 g spring loaded projectile launcher is used to launch a 10 g projectile. If the spring (spring…

A: The given values are, ms=200 g=0.200 kgmp=10 g=0.010 kgk=22 N/mx=6.5 cm=0.065 m

Q: Consider a science exhibit consisting of a wooden pole of length 1.3 m and mass 4.0 kg as shown in…

A: Given : mr=4kg              m1=2.1kg              m2=4.2kg               L=1.3m    This problem will…

Q: The top in Figure P8.55 has amoment of inertia of 4.00 x10-4 kg . m2 and is initially atrest. It is…

A: We know,

Q: Two wheels of moment of inertia 5.1 kg.m2 and 7.5 kg.m2 are set in rotation with angular speed 4.3…

A:

Q: A 5.0-m radius playgorund merry-go-round with a moment of inertia of 2000 Kg*m2is rotating freely…

A:

Q: A man is pushing a loaded rotating tray with radius of 0.5m on top of a table with a force of F =…

A:

Q: A light rod of length ℓ = 1.00 m rotates about an axis perpendicular to its length and passing…

A: a) The kinetic energy of the system is 6.34 J.

Q: a top with radius 10cm, mass 2 kg has a string around the edge and is initially at rest. assume the…

A: Consider the figure and observe that, force by the string acts tangentially. Therefore, the angle…

Q: Johnny Manziel has decided that he’s a terrible quarterback (he’s pretty mad about it) and wants to…

A: Givenwithout shoes , MOI=0.20 kg.m2shoes mass, m=0.50 kgdistance, r=45 cm                    =0.45 m

Q: Angela is an Olympic figure skater. At the end of her performance, she spun. Her weight is 53 kg,…

A: Given: Ii=3kgm2, ωi=0.5rev/s=πrad/s, If=2.2kgm2 As there is no external torque acting on the skater,…

Q: A merry-go-round with a moment of inertia of 880kg⋅m2 experiences a force of 74.5N applied parallel…

A: Given data: Moment of inertia of merry-go-round is, I = 880 kg⋅m2 Force is applied parallel to edge…

Q: What is the angular momentum of a 0.315 kg ball rotating on the end of a thin string in a circle of…

A:

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.