A cylinder of mass M and radius R is pulled by a constant force of magnitude Fapplied at the top horizontally. The cylinder rolls smoothly on the horizontal surface. Assume that M=10 kg, R=0.10 m, F=12 N, and note that the rotational inertia of the cylinder about its axis is 1/2MR^2 (a) Find the magnitude of the acceleration of thic center of mass of the cylinder (please input the numerical value in unit of m/s)  (b) Find the magnitude of the angular acceleration of the contact point between the cylinder and the surface about the axis of the cylinder (please input the numerical value in unit of rad/s). (c) Find the magnitude of the frictional force acting on the cylinder (please input the numerical value in unit of N).

Q: An irregular flat object of mass m has a moment of inertia I, when nailed loosely to a vertical…

A: Need to calculate initial angular acceleration from the given information.

Q: A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center…

A: Given data: Mass of the wheel m =10.0 kg Radius of the wheel R =0.400 m Radius of the axle r=0.200 m…

Q: A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center…

A:

Q: A 1.25 kg solid, uniform sphere rolls without slipping across a level surface, translating at 4.00…

A: Given that: The velocity of the ball is v=4 m/s The radius of the sphere is r=0.410 m The mass of…

Q: It begins to rotate around the vertical axis passing through the center of the cd in the horizontal…

A:

Q: A uniform wheel of mass 10.0 kg and radius 0.400 m is mounted rigidly on an axle through its center…

A:

Q: A rigid bearing assembly with a point mass m = 1.20 kg, suspended at the end of a thin rod of length…

A:

Q: Let F be a force acting on an object, and let r be a position vector from a rotational center to the…

A:

Q: The cable drum has amass of 685 kg with radius of gyration of 440 mm about its center O and is…

A:

Q: A rigid body is undergoing planar motion with the velocity of its center of mass vc = 2 m/s i + 5…

A:

Q: Consider two uniform solid spheres where both have the smae diameter but one has twice the mass of…

A:

Q: A pair of constant forces of magnitude F=15.9 N is applied to opposite sides of the axle of a top,…

A: Write the equation for torque on a rotating object τ = Iα  FL = Iα Here, L is the moment arm. In the…

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

A: Determine the moment of inertia of the old wheel.

Q: A playground merry-go-round is a metal disk of radius 2.5 m and mass 80kg. Two kids, each of mass 40…

A:

Q: M, a solid cylinder (M=1.51 kg, R=0.123 m) pivots on a thin, fixed, frictionless bearing. A string…

A: Given Data:- Mass of the cylinder is M=1.51 kg Radius of the cylinder is R=0.123 m Magnitude of the…

Q: Show that the rotational inertia of a rectangular plate of sides a and b about an axis perpendicular…

A: The perpandicular axis thorem to calculate the moment of inertia is

Q: A centrifuge rotor rotating at 9500 rpmrpm is shut off and is eventually brought uniformly to rest…

A: Given Initial velocity ωo =9500 rpm Torque τ = 2.28 Nm Mass of the cylinder M = 4.19 kg Radius of…

Q: A girl of mass 31.7 kg stands on the rim of a frictionless merry-go-round of radius 1.97 m and…

A: In the given question , We have to determine the values of given parts.

Q: A solid cylinder of mass 0.6 kg and radius 0.58 m starts from rest at the top of a ramp, inclined…

A: mass of cylinder = 0.6 kg radius = 0.58 m θ = 24omoment of inertia of cylinder = 0.5 mR2h = 2.5 m

Q: A solid cement cylinder with uniform density is being pulled horizontally by a horizontal force F,…

A: given data, mass of the cylinder , m = 47 Kg radius of the the cylinder , r = 0.75 m acceleration of…

Q: The uniform solid block in the figure has mass 26.6 kg and edge lengths a = 0.996 m, b = 1.30 m, and…

A:

Q: A metal hoop lies on a horizontal table, free to rotate abouta fixed vertical axis through its…

A: Part A:

Q: Calculate the moment of inertia of a solid cylinder of mass 3.50 kg and diameter 0.50 m, which is…

A:

Q: A 10.0- kg cylinder rolls without slipping on a rough surface.At an instant when its center of…

A: (a)

Q: A flywheel is a mechanical device used to store rotational kinetic energy for later use. Consider a…

A: Given information: Here, m1 and m2 are the mass of the first and the second flywheel respectively,…

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

A:

Q: A 255-lbr block is suspended from an inextensible cable which is wrapped around a drum of 1.75-ft…

A: Given: The weight of the block is 255-lbf. The radius of the drum is 1.75 ft. The moment of inetia…

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

A:

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

A: The radius of the hoop is rh = 0.421 m  The mass of the hoop is m = 5.46 kg  The mass of each rod m'…

Q: A certain gyroscope consists of a uniform disk with a 50 cm radius mounted at the center of an axle…

A: The distance r from the center of the mass to the ground,

Q: The wheels of a wagon can be approximated as the combination of a thin outer hoop of radius rh=0.262…

A:

Q: A uniform thin rod of mass ?=3.47 kg pivots about an axis through its center and perpendicular to…

A:

Q: The cable drum has a mass of 795 kg with radius of gyration of 435 mm about its center O and is…

A: The solution is given below

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

A: Given data: The radius of hoop is rh=0.209 m. The mass of hoop is m=5.08 kg. The mass of each rod is…

Q: in an experiment on rotation. If the rod is nailed at a distance of (1/3)L from one of its ends and…

A: moment of inertia I = mr2

Q: In unit-vector notation, what is the net torque about the origin on a flea located at coordinates…

A: The net force is,

Q: a rotatind sheaviest hinged door is at Lawrence Livermore National Laboratory. It has a mass of…

A: a) The door’s angular acceleration can be found by the following equation. Here, θ, ω0, α, and t…

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

A: Given    mass of hoop mn = 4.70 kg   mass of each rodmr= 8.23 kg          rh= 0.474 m           td =…

Q: A plane is flying in a straight line at a velocity of v, relative to the ground, and the propeller…

A:

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

A: The moment of inertia of the current wheel is given by,

Q: Four identical particles of mass 0.583 kg each are placed at the vertices of a 4.01 m x 4.01 m…

A:

Q: M, a solid cylinder (M=2.35kg, R=0.113 m) pivots on a thin, fixed, frictionless bearing. A string…

A: "As per the guidelines i solved the first three subpart". 1. The torque due to motion of the solid…

Q: The two balls are attached to the light rigid rod, which is suspended by a cord from the support…

A: