93.3 kg horizontal circular platform rotates freely with no friction about its center at an initial angular velocity of 1.51 rad/s. A monkey drops a 9.65 kg bunch of bananas vertically onto the platform. They hit the platform at 4/5 of its radius from the center, adhere to it there, and continue to rotate with it. Then the monkey, with a mass of 21.3 kg, drops vertically to the edge of the platform, grasps it, and continues to rotate with the platform. Find the angular velocity of the platform with its load. Model the platform as a disk of radius 1.75 m.

A circular space station with a radius of 72 m has just been completed. In order to provide astronauts with the feeling of gravity, the space station will be set spinning about its central axis. To do this, solid fuel rockets have been attached around the perimeter of this station to start it spinning. These rockets fizzle out quickly, and produce a non-uniform angular acceleration of =a0e−bt Where a0 = 0.0424 rad/s2 and b = 0.153 s-1. The station is at rest (is not spinning) when the rockets are ignited at t = 0 s. What is the tangential speed of the outer edge of the station about the center of the station at t = 6.27 s? Through what angle has the station rotated in that time? Once the rockets are done burning, how long does it take the station to complete one revolution?

To kick a football, the kicker rotates his leg about the hip joint. If the velocity of the the kicker's shoe is 37.5 m/s and the hip joint is 1.21 m from the tip of the shoe, what is the shoe tip's angular velocity? The shoe is in contact with the initially nearly stationary 0.500 kg football for 20.0 ms. What average force is exerted on the football to give it a velocity of 19.7 m/s? Find the maximum range of the football, neglecting air resistance.

A turntable with a mass of 12 kg and a radius of 2 meters spins at a constant angular velocity of 140 rpm. A 500-gram scoop of uniformly-dense ice cream falls onto the turntable, so the scoop's center of mass is one meter away from the turntable's center. The scoop forms a hemisphere and has a radius of 4 cm. If there's no friction between the brick and ice cream scoop and they spin at the same angular speed, what is their final angular speed, in rev/min or in rad/s? Justify your answer with your rationale and equations used. Moments of Inertia: Idisk =MR for rotation about its center of mass parallel to the z-axis. %3D Ihemisphere = MR for rotation about its center of mass parallel to the z-axis. Edit View Ansert Format Tools Table COREI

A weather vane initially at rest has a moment of inertia of 0.123 kg · m2 about its axis of rotation. A 57.0 g piece of clay is thrown at the vane and sticks to it at a point 24.5 cm from the axis. The initial velocity of the clay is 23.0 m/s, directed perpendicular to the vane. Find the angular velocity of the weather vane just after it is struck. please solve

A weather vane initially at rest has a moment of inertia of 0.104 kg · m2 about its axis of rotation. A 68.0 g piece of clay is thrown at the vane and sticks to it at a point 14.0 cm from the axis. The initial velocity of the clay is 27.5 m/s, directed perpendicular to the vane. Find the angular velocity of the weather vane just after it is struck.

A lawnmower blade has a length of 0.75 m and a mass of 1.5 kg. The blade rotates around its center at an angular velocity of 500 re. The end of the blade hits a 0.25 kg croquet ball (point mass), and the ball sticks to the blade. min Before the collision, the ball was stationary. After the collision, the ball will be moving at the same angular velocity as the blade at a distance of half of the blade length from the axis of rotation. Treat the blade as a rod rotating around its center. The final angular velocity of the lawnmower blade and croquet ball combo is rad S

A 10 kg particle moves in the xy plane with a velocity of v = (3.2 î-6.1 ) m/s. Determine the angular momentum of the particle when its position vector is 7 =(3 i +2.2 j) m. %3D O a:(-253.4k) kg.m2/s Ob:(+253.4 k) kg.m²/s OC(-25.34 k) kg.m²/s d(+25.34 k) kg.m²/s

A bowling ball has radius 11 cm and mass 7.25 kg. Assuming it to be a sphere of uniform density, what is the ball's angular momentum (with respect to its own axis) as it rolls at 8.0 m/s? 3.19 Js 1.96 Js 6.37 Js 4.48 Js 2.55 Js

A 1.70-kg particle moves in the xy plane with a velocity of = (4.10 1-4.00 j) m/s. Determine the angular momentum of the particle about the origin when its position vector is F (1.50 +2.20 j) m. + j+ k) kg - m²/s