HMWRK 3 - Dynamics ME 3400 Homework 3 Relative Motion and Constraint Motion 1 The mine car C is being pulled up the incline using the motor M and the

HMWRK 3 - Dynamics ME 3400 Homework 3 Relative Motion and...

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Dynamics ME 3400 Homework 3 Relative Motion and Constraint Motion 1. The mine car C is being pulled up the incline using the motor M and the rope-and-pulley arrangement are shown. Determine the speed p v at which a point P on the cable must be travelling toward the motor to move the car up the plane with a constant speed of 2 m/s v . Solution : 2. The motor at C pulls in the cable with an acceleration 2 2 3 m/s c a t , where t is in seconds. The motor at D draws in its cable at 2 5 m/s . D a If both motors start at the same instant from rest when d=3 m, determine (a) the time needed for d=0, and (b) the velocities of the blocks A and B when this occurs. Solution :
3. The motion of the collar at A is controlled by a motor at B such that when the collar is at 3 ft A s it is moving upwards at 2 ft/sec and decreasing at 2 1 ft/sec . Determine the velocity and acceleration of a point on the cable as it is drawn into the motor B at this instant.

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