Question: use system mks During a certain time interval, the angular position of a swinging door is described by = 4.93 + 10.5t + 1.92t 2

use system mks

  1. During a certain time interval, the angular position of a swinging door is described by = 4.93 + 10.5t + 1.92t2, where is in radians and t is in seconds. Determine the angular speed of the door at t = 3.08s.
  2. An electric motor rotation a workshop grinding wheel at 1.02 x 102 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.06 rad/s2. How long does it take the grinding wheel to stop?
  3. a 125-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.800 rev/s in 2.00s? (State the magnitude of the force.)
  4. Rigid rods of negligible mass lying along the y axis connect three particles. The system rotates about the x axis with an angular speed of 1.50 rad/s. An x y is shown. Three particles are all connected to each other by two rigid rods that are along the y-axis. The 4.00 kg particle is located at y = 3.00 m. The 2.00 kg particle is located at y = -2.00 m. The 3.00 kg mass is located at y = -4.00 m. The 3.00 kg mass is located at y = -2.00 m. The 3.00 kg mass is located at y = -4.00 m. The axis of rotation is the x-axis and it rotates in a counter clockwise direction (from the perspective of the side, along the +x-axis). Find the total rotational kinetic energy.

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