Physics Homework Solutions

Moment of inertia

"The net work done in accelerating a propeller from rest to an angular speed of 197 rad/s is 2810 J. What is the moment of inertia of the propeller?"

final angular speed

"A solid, horizontal cylinder of mass 10.4 kg and radius 1.13 m rotates with an angular speed of 6.81 rad/s about a fixed vertical axis through its center. A 0.251 kg piece of putty is dropped vertically onto the cylinder at a point 0.864 m from the center of rotation, and sticks to the cylinder. Determine the final angular sp ...continues

bike problem

(a) Write down five equations; one equating the net horizontal force to the horizontal acceleration, one relating the net torque on the rear wheel to it angular acceleration (w), one relating the net torque on the chain ring/crankarm/pedal/ and its angular acceleration (p), one relating the acceleration a and  ...continues

kinetic energy/rotational speed

"A car is designed to get its energy from a rotating flywheel with a radius of 2.20 m and a mass of 499 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 5120 revolutions per minute. Find the kinetic energy stored in the flywheel."

rotational motion

A cylindrical fishing reel has a moment of inertia of I = 6.81à—10-4 kg* m2 and a radius of 3.13 cm. A friction clutch in the reel exerts a restraining torque of 1.49 N*m if a fish pulls on the line. The fisherman gets a bite, and the reel begins to spin with an angular acceleration of 63.7 rad/s2. 1) What is the force of the fi ...continues

angular speed

"A 243 N sphere 0.199 m in radius rolls, without slipping, 6.06 m down a ramp that is inclined at 36.9° with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?" Thank you!

KE/rotational motion

"A car is designed to get its energy from a rotating flywheel with a radius of 2.20 m and a mass of 499 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 5120 revolutions per minute. Find the kinetic energy stored in the flywheel."

Angular speed

"A 243 N sphere 0.199 m in radius rolls, without slipping, 6.06 m down a ramp that is inclined at 36.9° with the horizontal. What is the angular speed of the sphere at the bottom of the hill if it starts from rest?"

Physics

An essentially massless spring is connected to the ceiling. A 5.00 g mass is attached to the spring so that the spring is 2.00 cm longer than its unstretched length. The mass is the pulled downward so that it is 20 cm below the equilibriun position and released from rest. After 10s the amplitude of oscillation has been reduce to ...continues

A sphere and a ring rolling without slipping down a plane.

A sphere and a thin ring are released side by side on a 25 degree inclined plane. They roll down the plane without slipping. At the end of 6 seconds, which one is ahead and by how many meters?

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