To drag a heavy log of mass 500 kg up a ramp inclined at 30degree to the horizon

Question

To drag a heavy log of mass 500 kg up a ramp inclined at 30degree to the horizontal, you attach the log to a cable that runs over a pulley at the top of the ramp, and you attach a 300-kg counterweight at the other end (see Fig. 5.67). Assume the log moves without friction. What is the acceleration of the log up the ramp? Could you use a smaller counterweight to move the log? How much smaller? FIGURE 5.67 A log on a ramp with pulley and counterweight.

Explanation / Answer

a)acceleration = (300g-500gsin30)/800 = .6125 m/s^2 b)Let the counterweight mass be m so (mg-500gsin30)/800>=0 this implies that a mass of m>= 250 kg can be used

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