A uniform cylinder with mass m.= 2 kg and radius R= 1.5 m lies on top of a long board which has mass = 4 kg as shown in figure. The board is free to slide frictionlessly on a table, but there is a kinetic friction mb 0.2. If the board is initially at 8 m/s to the right, without any initial rotation, what is between the cylinder and the board, with the coefficient of kinetic friction u = rest, and the cylinder is given an initial speed is vo = the speed of the cylinder (with respect to the ground) when it finally rolls without slipping on the board? (Take the moment of inertia about central axis of cylinder: I (1/2)m.R and g 10 m/s)

Q: A small sphere of mass m and radius r starts from rest at height h and rolls without slipping along…

A: Given : h = 3R I = 2mr2/5

Q: You are the technical consultant for an action-adventure film in which a stunt calls for the hero to…

A: Height of the building, h = 19 m  Speed, v= 5 m/s  Radius of drum , R = 0.4 m  Mass of the…

Q: A particle has mass 0.5 kg and is traveling along the line x = 5.0 m at 2.0 m/s in the positive…

A:

Q: uniform solid cylinder of constant density, mass M=5.68 kg, and radius R=1.51 m can rotate about its…

A:

Q: A uniform rod of length L = 90 cm and mass M = 300 g is free to rotate on a frictionless pin passing…

A: Given : Length of the rod, L=90 cm=0.9 m Mass of the rod,  M=300 g=0.3 Kg displacement of the center…

Q: A solid 0.7350 kg ball rolls without slipping down a track toward a vertical loop of radius R =…

A:

Q: three 0.0100 kg particles have been glued to a rod of length L= 6.00 cm and negligible mass and can…

A:

Q: In the Figure, a solid cylinder of radius 10 cm and mass 10 kg starts from rest and rolls without…

A:

Q: A solid cylinder of mass 6.1 kg and radius 0.63 m starts from rest at the top of a ramp, inclined…

A:

Q: a solid cylinder of radius 10 cm and mass 12 kg starts from rest and rolls without slipping a…

A: The decrease of potential energy,   The increase in kinetic energy,

Q: a rigid assembly of a thin hoop (of mass m = 0.25 kg and radius R = 0.19 m) and a thin radial rod…

A:

Q: A wheel 1.65 m in diameter lies in a vertical plane and rotates about its central axis with a…

A: Given Data: The diameter of a wheel is, d=1.65 m The angular acceleration of a wheel is, α=4.25…

Q: The disk, which has a mass of 27 kg, is subjected to the couple moment of M = (1.7θ + 4.5) N m,…

A:

Q: A wheel 2.15 m in diameter lies in a vertical plane and rotates about its central axis with a…

A: It is given that, d=2.15 mr=d2=1.075 mα=4.10 rad/s2θ=57.3o=1 radt=2 sωf=8.2 rad/sv=8.815 m/s

Q: Point P I'd on the rim of a wheel with a radius of 2 m. At time t=0, the wheel is at rest, and P is…

A: The formula for the tangential acceleration is: The direction of the angular acceleration is along…

Q: A uniform solid sphere rolls along a horizontal frictionless surface at 25 m/s and makes a smooth…

A: Given: The mass of the sphere is M. The radius of the sphere is r. The velocity of the sphere is 25…

Q: A solid 0.5750 kg ball rolls without slipping down a track toward a vertical loop of radius R =…

A: In the Question it is given that  A solid 0.5750 kg ball rolls without slipping down a track toward…

Q: Each of the double pulleys shown has a centroidal mass moment of inertia of 0.25 Kg.M2 an inner…

A: Given Each of the double pulleys shown has a centroidal mass moment of inertia of 0.25 Kg.M2 an…

Q: A uniform solid sphere rolls along a horizontal frictionless surface at 20 m/s and makes a smooth…

A:

Q: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a…

A: Write the given values of this problem. ωi=0t=2 sα=4 rad/s2r=d2r=22=1 mθi=57.3°2π rad360°θi=1 rad

Q: What if a solid cylinder of mass M = 3.50 kg, radius R = 2.18 cm, and length L = 2.7 cm, is rolling…

A: a) Initially we are given the equation,

Q: In a satellite model for a science project, given the masses of the three satellites mA= 2.4 kg, ma=…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an…

A: Moment of Inertia The Moment of Inertia of a rigid body about an axis is the sum of the product of…

Q: Four particles, A, B, C, and D, are rotating around their individual axes of rotation with different…

A: The angular velocity is given by,

Q: A uniform cylinder has mass M = 2.00 kg, radius R = 0.0500 m, and moment of inertia for rotation…

A:

Q: True or False? Consider a rigid object mounted on an axle about which it can turn, if the object is…

A: In the given question it is said that the rigid object is turning in the negative direction and…

Q: In a similar problem as before, a 0.482 kg mass hangs from a frictionless pulley with a radius of…

A:

Q: In the figure, a solid cylinder of radius 24.0 cm and mass 17.0 kg starts from rest and rolls…

A: (a).The acceleration of the solid cylinder can be calculated using equation.

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.

Q: A wheel 2.10 m in diameter lies in a vertical plane and rotates about its central axis with a…

A:

Q: A uniform, solid cylinder of radius 7.00 cm and mass 5.00 kg starts from rest at the top of an…

A:

Q: A ball is rolling with a constant angular speed around a circular groove in the surface of a…

A: The angular speed of an object is defined as the rate at which it changes its angle in given time…

Q: solid cylinder of mass 2.7 kg and radius 0.48 m starts from rest at the top of a ramp, inclined 28°,…

A: Given mass of cylinder = 2.7 kg Radius = 0.48 m Moment of inertia of cylinder = 0.5 × 2.7 (0.28)2 =…

Q: A 55.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 560 kg ·…

A: Given data The mass of the women is: m = 55 kg The moment of Inertia of the turntable is: It = 560…

Q: A uniform solid sphere rolls along a horizontal frictionless surface at 15 m/s and makes a smooth…

A:

Q: In the figure, a solid cylinder of radius 15 cm and mass 19 kg starts from rest and rolls without…

A: The net force acting on an object is equal to mass times the acceleration of the object. This is the…

Q: In the figure, a solid cylinder of radius 9.1 cm and mass 15 kg starts from rest and rolls without…

A:

Q: Two particles of mass m and M situated at a distance R are undergoing a uniform circular motion…

A:

Q: In the figure, a solid cylinder of radius 9.1 cm and mass 15 kg starts from rest and rolls without…

A:

Q: What is the moment of inertia of a circular ring with mass M = 2 kg and radius R = 3 m with respect…

A: The mass of circular ring is 2 kg and the radius is 3m.

Q: In the figure, a solid cylinder of radius 5.5 cm and mass 14 kg starts from rest and rolls without…

A: Given:-  A solid cylinder of the radius is r = 5.5 cm The mass of the solid cylinder is m = 14 kg…

Q: A 50.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 420 kg ·…

A: Mass of women m = 50 kg Moment of inertia I = 420 kg m2 Radius r = 2.00 m The constant speed v =…

Q: A 50.0-kg woman stands at the rim of a horizontal turntable having a moment of inertia of 520 kg •m²…

A: Given: Moment of inertia, Ir = 520 kg m2 radius, r = 2m  mass of woman, m = 50 kg

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius rn =…

A:

Q: As shown in the figure, a homogeneous parabolic wire is located on the xy plane. A ring attached to…

A: There are two force acting on ring, weight and centrifugal force. Since, ring is not sliding, vector…