Find the acceleration of the masses if the pulley is massless and frictionless.

Question

Find the acceleration of the masses if the pulley is massless and frictionless. If the coefficient of static friction between the two blocks is 0.2 and the coefficient of static fraction between the lower block and the desk is 0.5, what mass must be hung over the frictionless pulley to start the system moving? Carter's favorite ride at Playland Amusement Park is the roller coaster. The roller coaster car and passengers have a combined mass of 1620 kg, and they descend the first hill at an angle of 45degree to the horizontal. With what force is the roller coaster pulled down the hill? Little Billy, whose mass is 45 kg slides down the banister in his grandmother's house and accelerates at 1.5 m/s^2. If the banister makes a 30degree angle with the horizontal, what is the force of friction opposing Billy's motion downward? A 4kg cylinder is sitting on two boards joined at a 90 degree angle. What are the normal forces supporting the cylinder.

Explanation / Answer

(14) .Accleration a = [(m2-m1)/(m2+m1) ] g

Where m2 = 4 kg

m1 = 2 kg

g = 9.8 m/s 2

Substitute values you get , a = [(4-2)/(4+2)]9.8

= [2/6](9.8)

= 3.266 m/s2

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