M, a solid cylinder (M=1.83 kg, R=0.117 m) pivots on a thin, fixed, frictionless bearing. A...

M, a solid cylinder (M=1.83 kg, R=0.117 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.690 kg mass, i.e., F = 6.769 N. Calculate the angular acceleration of the cylinder. Because the bearing is thin, the moment of inertia of the bearing is essentially that of a solid cylinder

If instead of the force F an actual mass m = 0.690 kg is hung from the string, find the angular acceleration of the cylinder.

How far does m travel downward between 0.490 s and 0.690 s after the motion begins?

The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves a distance 0.496 m in a time of 0.550 s. Find Icm of the new cylinder.

Expert Solution

The answer for above problem is explained below.

genius_generous answered 2 years ago

M, a solid cylinder (M=1.35 kg, R=0.117 m) pivots on a thin, fixed, frictionless bearing. A...

M, a solid cylinder (M=1.35 kg, R=0.117 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.670 kg mass, i.e., F = 6.573 N. Calculate the angular acceleration of the cylinder. Tries 0/10 If instead of the force F an actual mass m = 0.670 kg is hung from the string, find the angular acceleration of the cylinder. Tries 0/10 How far does...

M, a solid cylinder (M=1.71 kg, R=0.133 m) pivots on a thin, fixed, frictionless bearing. A...

M, a solid cylinder (M=1.71 kg, R=0.133 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.690 kg mass, i.e., F = 6.769 N. Calculate the angular acceleration of the cylinder. 5.95×101 rad/s^2 You are correct. Your receipt no. is 161-2131 Previous Tries If instead of the force F an actual mass m = 0.690 kg is hung from the string, find the...

a.) M, a solid cylinder (M=2.11 kg, R=0.137 m) pivots on a thin, fixed, frictionless bearing....

a.) M, a solid cylinder (M=2.11 kg, R=0.137 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.610 kg mass, i.e., F = 5.984 N. Calculate the angular acceleration of the cylinder. a.) b.) If instead of the force F an actual mass m = 0.610 kg is hung from the string, find the angular acceleration of the cylinder. c.) How far does...

A wheeled cart (frictionless), a solid cylinder of radius r, a solid sphere of radius r,...

A wheeled cart (frictionless), a solid cylinder of radius r, a solid sphere of radius r, and a hollow cylinder of radius r are all allowed to roll down an incline. Derive a general relationship for the linear acceleration of each object depending on the angle of the ramp and the rotational inertia. You may assume that the frictional force is small enough that it is only causing rotation in each case.

A solid sphere of radius R, a solid cylinder of radius R, and a hollow cylinder...

A solid sphere of radius R, a solid cylinder of radius R, and a hollow cylinder of radius R all have the same mass, and all three are rotating with the same angular velocity. The sphere is rotating around an axis through its center, and each cylinder is rotating around its symmetry axis. Which one has the greatest rotational kinetic energy? both cylinders have the same rotational kinetic energy the solid cylinder the solid sphere they all have the same...

A 1.5 kg solid cylinder (radius = 0.15 m , length = 0.60 m ) is...

A 1.5 kg solid cylinder (radius = 0.15 m , length = 0.60 m ) is released from rest at the top of a ramp and allowed to roll without slipping. The ramp is 0.80 m high and 5.0 m long. When the cylinder reaches the bottom of the ramp, what is its total kinetic energy? When the cylinder reaches the bottom of the ramp, what is its rotational kinetic energy? When the cylinder reaches the bottom of the ramp,...

A solid cylinder has a mass of 2.50 kg and a radius of 0.100 m. It...

A solid cylinder has a mass of 2.50 kg and a radius of 0.100 m. It is released from rest on a ramp tilted at 8.00° from horizontal, and it rolls without slipping down the ramp until it has moved a vertical distance of 0.350 m. What is the angular speed of the cylinder when it reaches the bottom? What is the magnitude of the angular momentum of the cylinder when it reaches the bottom?

A solid cylinder, a thin hollow cylinder (with circular cross-section), and a thick hollow cylinder (with...

A solid cylinder, a thin hollow cylinder (with circular cross-section), and a thick hollow cylinder (with a donut cross section), of equal masses radii, are simultaneously released from rest at the top of an inclined plane and roll without slipping down the plane. Which object reaches the bottom of the inclined plane first? A) The solid cylinder B) The thin hollow cylinder C) The thick hollow cylinder D) All objects reach the bottom at the same time Please provide explanation.

A 2.50-kg grinding wheel is in the form of a solid cylinder of radius 0.100 m....

A 2.50-kg grinding wheel is in the form of a solid cylinder of radius 0.100 m. 1- What constant torque will bring it from rest to an angular speed of 1200 rev/min in 2.5 s? 2- Through what angle has it turned during that time? 3- Use equation W=τz(θ2−θ1)=τzΔθ to calculate the work done by the torque. 4- What is the grinding wheel’s kinetic energy when it is rotating at 1200 rev/min? 5- Compare your answer in part (D) to...

A thin rod (mass 8.28 kg, length 8.04 m) is sitting on a horizontal, frictionless table....

A thin rod (mass 8.28 kg, length 8.04 m) is sitting on a horizontal, frictionless table. There is a 0.626 kg frog sitting on the very end of the rod; you can treat the frog as a point particle. Suddenly the frog jumps off at speed 4.75 m/s, moving horizontally and perpendicular to the rod. Find ω, the angular speed of the rod after the frog jumps off, in rad/s.

Question