mass on an incline

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A mass M1 slides on a 45 inclined plane of height H as shown. It is connected by a flexible cord of negligible mass over a small pulley (neglect its mass) to an equal mass M2 hanging vertically as shown. The length of the cord is such that the masses can be held at rest both at height H/2. The dimensions of the masses and the pulley are negligible compared to H. At time t = 0 the two masses are released.
    (a) For t > 0 calculate the vertical acceleration of M2
    (b) Which mass will move downward? At what time will it strike the ground?
    (c) If the mass in (b) stops when it hits the ground, but the other mass keeps moving, show whether or not it will strike the pulley.


Solutions (listed by author)

Rudy Arthur  (pdf, 39k)


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