1) a tractor of mass M1=2000 kg is pulling a trailer of mass M2=4000 kg. the whe

Question

1) a tractor of mass M1=2000 kg is pulling a trailer of mass M2=4000 kg. the wheels of the trailer only are subject to friction with coefficient 0.2. if the tractor-trailer is accelerated at 2.0 m/s2. then the tension in the trailer hitch that connects the trailer to the tractor is

2) a 2.00 kg stone attached to a 1.00 m long string is traveling in a vertical circular orbit. What is the minimum tangential velocity at the top of the verticl circular orbit to keep the string from going slack?

3) a 2.0kg mass is moving in a circular path with a constant angular velocity of 6.50 rad/sec and with a tangential velocity of 3.50m/sec. the centripetal force on the mass is

Explanation / Answer

a) for the trailer, T - F = M2*a

F = m*g*mu

T - 4000*9.8*0.2 = 4000*2

T = 15840

b) minimum velocity will be when tension is zero

m*g = m*v^2/r

9.8 = v^2/1

v = 3.13 m/s

c) v = r*w

3.5 = 6.5*r

r = 0.53846

a = m*v^2/r = 2*3.5^2/0.53846 = 45.5 m/s^2

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