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A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to ?(t)=?t+?t3, where ?= 0.411 rad/s and ?= 1.45×10?2 rad/s3
A) Calculate the angular velocity of the merry-go-round as a function of time.
B) Express your answer in terms of the variables ?, ?, and t.
C) What is the initial value of the angular velocity?
D) Calculate the instantaneous value of the angular velocity ?z at t= 5.30s.
E) Calculate the average angular velocity ?av?z for the time interval t=0 to t= 5.30s.
Show that the horizontal resultant of these two forces on the lamp is zero. Work out the weight of the lamp.
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A rabbit runs in a straight line with a velocity of +1.6 m/s for a period of time, rests for 9 s, and then runs again along the same line at +0.55m/s for an unknown amount of time. The rabbit travels a total distance of 1116m, and its average spee..
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Consider the system with m1 = 24kg, m2 = 14.60kg, R = 0.1400m, and the mass of the pulley M = 5.0kg. Object m2 is resting on the floor, and object m1 is 4.600m above the floor when it is released from rest. The pulley axis is frictionless. The cor..
Explain the spacing between allowed vibrational energy levels
A force vector has a magnitude of 569 newtons and points at an angle 41o of below the positive x axis. What is (a) x scalar component and (b) y scalar component of the vector.
A boy scout ‘s girl scout girlfriend to test his scouting abilities has hidden her girl scout cookies somewhere in the forest and has given him the directions to retrieve them, How far away are the cookies
The locomotive is moving at 25 km/h. The engineer of the high speed train immediately applies the brakes. What must be the magnitude of the resulting constant deceleration if a collision is to be just avoided.
Two charged bodies exert the force of 0.185N on each other. If they are moved so that they are one-fourth as far apart, what force is exerted.
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