A 50-kg crate is stationary when the force P is applied. Determine the resulting acceleration of the crate if (a) P=0, (b) P=150 N and (c) P=300 N.

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A 50 Ib block A is attached to a wire that is wrapped around the shown flywheel of 30" radius and I = 12 ft-lb-s². The system is released from the rest. Neglect the effect of friction, determine (a) the acceleration of the block A, (b) the speed of the block A after it has moved 10 ft. A

An object of mass m1 slides on a sloped block of mass M2, which in turn slides on a horizontal surface. The slope angle is a constant 3, and both masses are initially at rest. There is no friction between any of the objects, and the masses are subject to the force of gravity -mgêy. Use as co- ordinates the horizontal position x2 of mass m2, and the height y1 of mass m1, as shown in the y4 Y1 M2 x2 diagram to the right. Find the equation of motion of block 2, ä2(t). The expression should only include expressions involving constants: M2, m1, g, and B.