The system shown below is released from rest. The m, = 27 kg block is 2 m above the ledge. The pulley is a úniform disk with a radius of 10 cm and mass m = 6.0 kg. Assume that string does not slip on the pulley. T= 10 cm 2 m 20kg (a) Find the speed of the 27 kg block just before it hits the ledge. m/s (b) Find the angular speed of the pulley at that time. rad/s (c) Find the tensions in the strings. N (left)

A propeller is modeled as five identical uniform rods extending radially from its axis. The length and mass of each rod are 0.867 m0.867 m and 2.51 kg2.51 kg, respectively. When the propellor rotates at 529 rpm529 rpm (revolutions per minute), what is its rotational kinetic energy ??

An optical disk drive in a computer can spin a disk at up to 10,000 rpm. If a particular disk is spun at 2250 rpm while it is being read, and then is allowed to come to rest over 0.301 s, what is the magnitude of the average angular acceleration of the disk? angular acceleration: 782.79 rad/s? If the disk is 12.0 cm in diameter, what is the magnitude of the tangential linear acceleration of a point 1/11 of the way out from the center of the disk? linear acceleration: m/s?

A 350-N sphere 0.20 m in radius rolls without slipping 6.0 m down a ramp that is inclined at 31° with the horizontal. What is the angular speed of the sphere at the bottom of the slope if it starts from rest? rad/s

You start riding a moped, the wheels begin at rest and have an angular acceleration of 3.5 rad/sec^2. What is the angular speed of the wheel after 2.9 sec?

The drive propeller of a ship starts from rest and accelerates at 2.28x10-3 rad/s2 for 2.25x103 s. For the next 1.35x103 s the propeller rotates at a constant angular speed. Then it decelerates at 3.25x 10-3 rad/s2 until it slows (without reversing direction) to an angular speed of 3.65 rad/s. Find the total angular displacement of the propeller.

d8=1 (a) Find the linear acceleration and the angular acceleration of the cylinder (b) Find the total kinetic energy of the cylinder after 5 s moving from rest.

A car rounds a curve with a translational speed of 11.0 m/s. If the radius of the curve is 5.00 m, calculate the angular speed w in rad/s. @ =

A ball with a weight of 70 N hangs from a string that is coiled around a 3 kg pulley with a radius of 0.4 m. Both the ball and the pulley are initially at rest. The rotational inertia of the pulley is 0.5mr2 and the ball is released from rest. Calculate the ball's velocity after it falls a distance of 2 meters.

A 24 g block sits at the center of a turntable that rotates at 80 rpm.  A compressed spring shoots the block radially outward from the center along a frictionless groove in the surface of the turntable.  Calculate the turntable's angular speed when the block reaches the outer edge.  Treat the turntable as a solid disk with mass with mass 200 g and diameter 54.0 cm.  Express your answer in revolutions per minute.