If I he force exerted by the motor M on the cable is 0 N. determine the Speed of

Question

If I he force exerted by the motor M on the cable is 0 N. determine the Speed of the 100 kg crate when it is to s = 3 m. The crate is at rest when s = 0 If the track is to be designed so that the passengers f the roller coaster do not experience a normal force equal zero or more than 4 times their weight, determine the beights h_A, and h_c, so that this does not occur The coater starts from rest at position Neglect friction The starts front rest at A and travels down ramp If friction and air resistance can be neglected, famine his speed v_0 when he reaches B. Also, find the to where he strikes the ground at it he makes jump traveling horizontally at B Neglect the skier's size has a mass of 75 kg The 8-kg cylinder A and 3-kg cylinder H are released from rest. Determine the speed of A after it has moved 2 m starting from rest. Neglect the mass of the cord and pulleys. Cylinder A has a mass of 3 kg and cylinder B has a mass of 8 kg. Determine the speed of A after it has moved 2 m starting from rest. Neglect the mass of the cord and pulleys. The catapulting mechanism is used to propel the 12-kg slider A to the right along the smooth track. The propelling action is obtained by drawing the pulley attached to rod HC rapidly to the left' by means of a piston P. It the piston applies a constant force F = 30 kN to rod HC such that it move sit 0.3 m. determine the speed attained by the slider if it was originally at rest Neglect the mass of the pulleys. cable, piston, and rod BC

Explanation / Answer

14-39:

when A is moved by 2m then B will be moved by 4m .

and A is moving with v then B will be moving with 2v.

using energy conservation,

KE + PE = constant

(8 *9.8 * 2 ) - (3 * 9.8 * 4) = 8v^2/2 + 3(2v)^2 /2

39.2 = 10v^2

v = 1.98 m/s

14.40:

when A is moved by 2m then B will be moved by 4m .

and A is moving with v then B will be moving with 2v.

using energy conservation,

KE + PE = constant

(8 *9.8 * 4 ) - (3 * 9.8 * 2) = 3v^2/2 + 8(2v)^2 /2

v = 3.82 m/s

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