1) A 90 kg scaffold is 5.00 m long. It is hanging with two wires , one from each

Question

1) A 90 kg scaffold is 5.00 m long. It is hanging with two wires, one from each end. A 500 kg box sits 1.6 m from the left end. What is the tension in the right hand side wire?(g = 9.8 m/s2). Answer in NEWTONS

2) A mass m1 = 6.00 kg is connected by a light string that passes over a pulley of mass M = 13.5 kg to a mass m2 = 10.5 kg sliding on a horizontal frictionless surface (see figure). There is no slippage between the string and the pulley. What is the magnitude of the acceleration of the system of masses? (The moment of inertia of the pulley is ½Mr².) Answer in m/s².

Explanation / Answer

scaffold weigth is

mg = 90 ( 9.8) = 882N

box weight is

500 kg ( 9.8) = 4900 N


left hand wire = ((882/2) 5.0) + (4900 (5.0 - 1.6)) = 18865 N

18865 N = 5.0 N ( left hand tension)

18865/5.0 N = 3773 N

the net tension is

T _L + T_R = ( 90 + 500) (9.8)

3773 N + T_R = 5782

T_R = 2009 N

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