A thin, 90.0 g disk with a diameter of 6.00 cm rotates about an axis through its center with 0.240 J of kinetic energy. What is the speed of a point on the rim?

on s page An arm swings from neutral (0 deg) to 61.3 deg flexion and then back 39.6 deg. Calculate the angular distance op in radians to 2 decimal places. Answer: Check pe here to search E C R F E T B H N U M K K N O P L 3°C Mostly cloudy ^4 # Next page 17:00 01/12/2023 ? 0

After all the metal has unwound from the roller, the student measures the radius R and the angular speed wo of the roller to be 25 cm and 20 rad/s respectively. Observed from the side, the roller rotates counterclockwise, as shown. A piece of clay of mass m strikes the very bottom edge of the roller with a horizontal velocity v = 4.0 m/s. The clay sticks to and rotates with the roller. The clay-roller system then rotates with a final angular velocity wi. (f) Is wi greater than, less than, or equal to wo? Justify your answer.

A hollow spherical shell has mass 8.50 kg and radius 0.240 m. It is initially at rest and then rotates about a stationary axis that lies along a diameter with a constant acceleration of 0.875 rad/s2. What is the kinetic energy of the shell after it has turned through 6.50 rev?

An automobile wheel has a mass of 17 kg and a diameter of 0.25 m. What is the total kinetic energy of one wheel when the car is traveling at 19.4 m/s? You may treat the wheel as a solid disk.

The rigid body shown in the figure consists of three particles connected by massless rods. It is to be rotated about an axis perpendicular to its plane through point P. If M = 0.41 kg, a = 35 cm, and b = 53 cm, how much work is required to take the body from rest to an angular speed of 5.8 rad/s? M 2M Number Units J

The puck in the figure below has a mass of 0.186 kg. Its original distance from the center of rotation is 40.0 cm, and it moves with a speed of 85.0 cm/s. The string is pulled downward 15.0 cm through the hole in the frictionless table. Determine the work done on the puck. Hint: Consider the change in kinetic energy of the puck. Need Help? Read It Watch It

In the figure, three 0.10 kg particles have been glued to a rod of length L = 11 cm and negligible mass and can rotate around a perpendicular axis through point O at one end. How much work is required to change the rotational rate (a) from 0 to 20.0 rad/s, (b) from 20.0 rad/s to 40.0 rad/s, and (c) from 40.0 rad/s to 60.0 rad/s? (d) What is the slope of a plot of the assembly's kinetic energy (in joules) versus the square of its rotation rate (in radians-squared per second-squared)? Axis -P--P-- P- (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units

A solid disk rotates in the horizontal plane at an angular velocity of 0.042 rad/s with respect to an axis perpendicular to the disk at its center. The moment of inertia of the disk is 0.089 kg·m2. From above, sand is dropped straight down onto this rotating disk, so that a thin uniform ring of sand is formed at a distance 0.29 m from the axis. The sand in the ring has a mass of 0.42 kg. After all the sand is in place, what is the angular velocity of the disk?

A 1.10 kg hoop of radius 0.160 m is released from rest at point A in the figure below, its center of gravity a distance of 1.90 m above the ground. The hoop rolls without slipping to the bottom of an incline and back up to point B where it is launched vertically into the air. The hoop then rises to its maximum height hmay at point C. HINT V = (0 C A 1.90 m hmax В 10.350 m (a) At point B, find the hoop's translational speed vR (in m/s). X m/s (b) At point B, find the hoop's rotational speed w, (in rad/s). X rad/s (c) At point C, find the hoop's rotational speed @. (in rad/s). rad/s (d) At point C, find the maximum height h of the hoop's center of gravity (in m). max