Question

Notify Me Bookmark

A cord is wrapped around the rim of a solid cylinder of radius 0.38 m, and a constant force of 40 N is exerted on the cord, as shown in the following figure. The cylinder is mounted on frictionless bearings, and its moment of inertia is 5.1 kg⋅m2. (Enter the magnitudes. ) (a) Use the work energy theorem to calculate the angular speed of the cylinder (in rad/s) after 6.2 m of cord have been removed. rad/s (b) If the 40 N force is replaced by a 40 N weight, what is the angular speed of the cylinder (in rad/s) after 6.2 m of cord have unwound? rad/s

A cord is wrapped around the rim of a solid cylinder of radius 0.38 m, and a constant force of 40 N is exerted on the cord, as shown in the following figure. The cylinder is mounted on frictionless bearings, and its moment of inertia is 5.1 kg⋅m2. (Enter the magnitudes. ) (a) Use the work energy theorem to calculate the angular speed of the cylinder (in rad/s) after 6.2 m of cord have been removed. rad/s (b) If the 40 N force is replaced by a 40 N weight, what is the angular speed of the cylinder (in rad/s) after 6.2 m of cord have unwound? rad/s

Image text
A cord is wrapped around the rim of a solid cylinder of radius 0.38 m , and a constant force of 40 N is exerted on the cord, as shown in the following figure. The cylinder is mounted on frictionless bearings, and its moment of inertia is 5.1 k g ⋅ m 2 . (Enter the magnitudes.) (a) Use the work energy theorem to calculate the angular speed of the cylinder (in rad/s) after 6.2 m of cord have been removed. r a d / s (b) If the 40 N force is replaced by a 40 N weight, what is the angular speed of the cylinder (in rad/s) after 6.2 m of cord have unwound? r a d / s

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

A uniform disk of mass 351 kg and radius 0.26 m is mounted on frictionless bearings so it can rotate freely around a vertical axis through its center (see the following figure). A cord is wrapped around the rim of the disk and pulled with a force of 10 N. (a) How much work (in J) has the force done at the instant the disk has completed four revolutions, starting from rest? J (b) Determine the torque due to the force. (Enter the magnitude in N⋅m.) N⋅m Calculate the work (in J) done by this torque at the instant the disk has completed four revolutions. J (c) What is the angular velocity (in rad/s) at that instant? (Enter the magnitude.) rad/s (d) What is the power output (in W) of the force at that instant? W
Solution
0 0

A hanging weight, with a mass of m1 = 0.360 kg, is attached by a cord to a block with mass m2 = 0.850 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is μk = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the cord does not stretch and does not slip on the pulley, and that the mass of the cord is negligible. (a) Using energy methods, find the speed of the block (in m/s ) after it has moved a distance of 0.700 m away from the initial position shown. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s
Solution
0 0

A hanging weight, with a mass of m1 = 0.360 kg, is attached by a string to a block with mass m2 = 0.850 kg as shown in the figure below. The string goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R1 = 0.0200 m, and an outer radius of R2 = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is μk = 0.250. At the instant shown, the block is moving with a velocity of vi = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the string does not stretch and does not slip on the pulley, and that the mass of the string is negligible. (a) Using energy methods, find the speed of the block (in m/s ) after it has moved a distance of 0.700 m away from the initial position shown. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance? rad/s

Solution
0 0