kin of mass M and radius R. The pumpkin has the shape of a sphere, but it is not uniform inside so you do not know its moment of inertia. In order to determine the moment of inertia, you decide to roll the pumpkin down an incline that makes an angle θ with the horizontal. The pumpkin starts from rest and rolls without slipping. When it has descended a vertical height H, it has acquire

Q: A thin rod has a length of 0.522 m and rotates in a circle on a frictionless tabletop. The axis is…

A:

Q: A small circular object with mass m and radius r has a moment of inertia given by I = cmr^2 . The…

A:

Q: A toy top with a spool of diameter 5.5 cm has a moment of inertia of 3.4×10−5 kg⋅m^2 about its…

A:

Q: One elevator arrangement includes the passenger car, a counterweight, and two large pulleys. Each…

A:

Q: Someone is standing on a frictionless platform that is rotating at 2.1 revolutions per second.  In…

A: If   I = moment of Inertia and w = Angular speed , then Kinetic Energy ( KE ) is given by KE=12Iw2…

Q: spherical object has a 32.1 m diameter. Its moment of inertia about a diameter is I = fMR2, where M…

A: Acceleration of object rolling without slipping down the plane a =g sinθ/(1+I/MR2 )

Q: A string is wrapped around a disk of mass m = 1.9 kg and radius R = 35 m, which is fixed to an axle…

A: IT IS KNOWN THAT  ζ =Iα where, ζ = torqueI = moment of inertiaα= angular acceleration given that, I…

Q: A thin rod has a length of 0.584 m and rotates in a circle on a frictionless tabletop. The axis is…

A: As the rod rotates on frictionless table top, the angular momentum of the system must be conserved.…

Q: A toy top with a spool of diameter 5.5 cm has a moment of inertia of 2.8x10-5 kg. m² about its…

A: Given data: The diameter of the spool, D=5.5 cm=0.055 m The radius of the spool is, r=2.75 cm=0.0275…

Q: Eight children, each of mass 44 kg, climb on a small merry-go-round. They position themselves evenly…

A: The angular momentum of a system of particles about a fixes point or axis of rotation remains…

Q: Consider a basketball player spinning a ball on the tip of a finger. If such a player performs 1.93…

A:

Q: horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a…

A:

Q: A uniform disk of radius R=38.0 cm and mass m=3.20 kg is punctured at point O, which is 0.230 R from…

A:

Q: A ceiling fan is made from a cylindrical plate with a mass of 900.0 g and a radius of 11.0 cm. Three…

A: In this question we are given that a ceiling fan is made from a cylindrical plate with a mass of…

Q: A thin rod has a length of 0.869 m and rotates in a circle on a frictionless tabletop. The axis is…

A:

Q: The figure shows a meter stick, which can pivot about an axis indicated by the black dot (at 25 cm).…

A: The net torque acting on the system is, ∑τ=IαF1R1+F2R2cosθ=Iαα=F1R1+F2R2cosθI

Q: particular horizontal turntable can be modeled as a uniform disk with a mass of 230 g and i gular…

A:

Q: A deep-sea fisherman hooks a big fish that swims away from the boat, pulling the fishing line from…

A: Given data as per question  t    =   2s angular acceleration  =  110rad/s2

Q: A playground merry-go-round of radius R = 1.98 m has a moment of inertia of I = 240 kg * m2 and is…

A: Inertia of child = mr^2Inertia of child = 26 * 1.98^2 = 101.9 kg-m^210.7 rpm = 1.121rad/s

Q: A motorcyclist is traveling along a road and accelerates for 4.11 s to pass another cyclist. The…

A:

Q: A playground carousel is free to rotate about its center on frictionless bearings, and air…

A: Ic = 112 kg·m2 ri = 1.76 m ωi = 0.552 rad/s rf = 0.714 m ωf = 0.725 rad/s m = ?

Q: In the figure, a cockroach with mass m rides on a disk of mass 2.8m and radius R. The disk rotates…

A: Given: mass of cockroach- m  mass of disk - 2.8m radius of disc-  R angular speed, ωi = 0.8 rad/s…

Q: A playground merry-go-round of radius R = 3 m has two men each of mass m = 100 kg standing on the…

A: ...

Q: A merry-go-round that can freely rotate is initially at rest. The merry-go-round has a radius of 1.4…

A:

Q: thin rod has a length of 0.330 m and rotates in a circle on a frictionless tabletop. The axis is…

A:

Q: A 392 N wheel comes off a moving truck and rolls without slipping along a highway. At the bottom of…

A:

Q: A girl pushes on a large wine barrel, which has a radius of 0.259 m and moment of inertia of 146 kg…

A: Given,

Q: A block of mass 0.74 kg is suspended by a string which is wrapped so that it is at a radius of 0.069…

A:

Q: A sphere of radius 1.34 cm1.34 cm and a cylinder of radius 6.97 cm6.97 cm are rolling without…

A:

Q: angular acceleration at t = 1.22 s. (e) Is its ang

A:

Q: A playground merry-go-round of radius R= 40 m has a moment of inertia I = 275 kg · m2 and is…

A: Apply the conservation of angular momentum equation. Here, Ii is the initial moment of inertia, ωi…

Q: A hollow spherical shell (Ishell =2/3 M R2) has a mass 4.03 kg and radius 0.220 m. It is initially…

A:

Q: = U a grinding wheel has an angular velocity of 26.5 rad/s. It has constant angular acceleration of…

A: The angular acceleration is the time rate of change of the angular velocity and is usually…

Q: A solid disk rotates in the horizontal plane at an angular velocity of 0.050 rad/s with respect to…

A:

Q: A thin rod has a length of 0.650 m and rotates in a circle on a frictionless tabletop. The axis is…

A: Let the length of the rod be L, the initial angular velocity be ω, the moment of inertia of the rod…

Q: A thin rod has a length of 0.307 m and rotates in a circle on a frictionless tabletop. The axis is…

A:

Q: A playground carousel is free to rotate about its center on frictionless bearings, and air…

A:

Q: During the spin cycle the time dependent angular speed of a washing machine drum is given by the…

A:

Q: A playground merry-go-round of radius R = 2.20 m has a moment of inertia I = 230 kg · m2 and is…

A: The initial moment of inertia is, Ii=230 kgm2 The initial angular speed is, ωi=8 rev/min The final…

Q: A 12.0-kg mass is located at the 4.0 mi + 3.5 m j + 3.0 m k. A 5.0-kg mass is located at -5.0 mi +…

A:

Q: A homogeneous pulley with two grooves consists of two wheels which turn together as one around the…

A: We are given pulley. 2 masses are hung opposite sides. We apply laws of motion to find angular…

Q: Disk 1 Disk 2

A: use the conservation f angular momentum  we have to solve the question

Q: A carousel has a radius of 1.65 m and a moment of inertia of 118 kg· m2. A girl of mass 49.0 kg is…

A: Apply principle of conservation of angular momentum…

Q: Asha needs the plate's moment of inertia ?I with respect to given rotation axis. Calculate ?I .

A: we can apply parallel axis theorem  Iaxis=ICM+Mr2

Q: Problem 5. A uniform rod of mass 1.5 kg and length 2.5 m is free to rotate about one end (see the…

A:

Q: A solid disk of uniform density and mass M = 0.950 kg with radius R = 0.250 m is suspended…

A: Given: m=0.95 kgR= 0.25mθ= 250g= 9.8 In this question, we use conservation of energy.

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.