Three blocks with masses m1 = 5.00 kg, m2 = 10.0 kg, and m3 = 15.0 kg are connected by massless strings which run over two frictionless pulleys. Block 1 sits on a highly polished plane inclined at an angle θ = 30.0 ◦ above the horizontal. The coefficient of friction between block 1 and the plane is µk1 = 0.200. Block 2 sits on a horizontal surface and the coefficient of friction between block 2 and the surface is µk2 = 0.400. Block 3 hangs off the end of the surface 25.0 cm above a spring with a spring constant k = 750 N/m. When you release the blocks, neither string slips on its pulley as the blocks slide. 

(a) What is the direction of the acceleration of the center of mass of the three block system after they have been released but before block 3 hits the spring? 

(b) What is the magnitude of the velocity of the center of mass of the three block system after the spring has been compressed a distance of 10.0 cm?
 

Transcribed Image Text:

m3 mi m3 mi

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