The two blocks in the figure below are connected by a massless rope that passes over a pulley. The pulley is 15 cm in diameter and has a mass of 3.0 kg. As the pulley turns, friction at the axle exerts a torque of magnitude 0.75 m N. If the blocks are released from rest, with what speed does the 4.0 kg block hit the floor? (Hint: You can approach this problem two ways: 1) Enumerating the forces and torques acting on the blocks and pulley and using Newton's second law to determine the acceleration of the system. 2) Use conservation of energy, taking into account work done by friction. Do it both ways and show that you get the same answer!) 4.0 kg 1.0 m 2.0 kg

The two blocks in the figure below are connected by a massless rope that passes over a pulley. The pulley is 15 cm in diameter and has a mass of 3.0 kg. As the pulley turns, friction at the axle exerts a torque of magnitude 0.75 m N. If the blocks are released from rest, with what speed does the 4.0 kg block hit the floor? (Hint: You can approach this problem two ways: 1) Enumerating the forces and torques acting on the blocks and pulley and using Newton's second law to determine the acceleration of the system. 2) Use conservation of energy, taking into account work done by friction. Do it both ways and show that you get the same answer!) 4.0 kg 1.0 m 2.0 kg

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 54P: A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its...

See similar textbooks

Similar questions

A constant torque is applied to a rigid body whose moment of inertia is 4.0kgm2 around the axis of rotation. If the wheel starts from rest and attains an angular velocity of 20.0 rad/s in 10.0 s, what is the applied torque?
A baseball catcher extends his arm straight up to catch a fast ball with a speed of 40 m/s. The baseball is 0.145 kg and the catcher’s arm length is 0.5 m and mass 4.0 kg. (a) What is the angular velocity of the arm immediately after catching the ball as measured from the arm socket? (b) What is the torque applied if the catcher stops the rotation of his arm 0.3 s after catching the ball?
Which of the entries in Table 10.2 applies to finding the moment of inertia (a) of a long, straight sewer pipe rotating about its axis of symmetry? (b) Of an embroidery hoop rotating about an axis through its center and perpendicular to its plane? (c) Of a uniform door turning on its hinges? (d) Of a coin turning about an axis through its center and perpendicular to its faces?
Today, waterwheels are not often used to grind food. Instead, we have electrical devices such as blenders, choppers, and mixers. The electric motors in these devices are similar to a waterwheel, but instead of falling water causing the wheel to spin,electricity causes a shaft to spin. The specifications on a particular electric motor reports that at 1.75 103 rpm, it puts out5 hp. What is the corresponding torque in N m?
As the rope of a tethered ball winds around a pole, what happens to the angular velocity of the ball?
The blades of a wind turbine are 30 m in length and rotate at a maximum rotation rate of 20 rev/min. (a) If the blades are 6000 kg each and the rotor assembly has three blades, calculate the angular momentum of the turbine at this rotation rate. (b) What Is the torque require to rotate the blades up to the maximum rotation rate in 5 minutes?
Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.
A cylinder with rotational inertia I1=2.0kgm2 rotates clockwise about a vertical axis through its center with angular speed 1=5.0rad/s . A second cylinder with rotational inertia I2=1.0kgm2 rotates counterclockwise about the same axis with angular speed 2=8.0rad/s . If the cylinders couple so they have the same rotational axis what is the angular speed of the combination? What percentage of the original kinetic energy is lost to friction?
A turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular speed of 3.00 rad/s arounda frictionless, vertical axle. A wad of clay of mass m =0.250 kg drops onto and sticks to the edge of the turntable.What is the new angular speed of the turntable?
A student rides his bicycle at a constant speed of 3.00 m/s along a straight, level road. If the bikes tires each have a radius of 0.350 m, (a) what is the tires angular speed? (See Section 7.3.) (b) What is the net torque on each tire? (See Section 8.5.)
A wheel starts from rest and in 12.65 s is rotating with an angular speed of 5.435 rad/s. a. Find the magnitude of theconstant angular acceleration of the wheel. b. Through whatangle does the wheel move in 6.325 s?
A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through one of its ends. Find the magnitude of the rodsangular momentum.