a mass of 900 kg is placed ll the Dack U A green car with tow truck that has a p

Question

a mass of 900 kg is placed ll the Dack U A green car with tow truck that has a pivot at one end. The car is held in place with a chain at the top end of the lift, as pictured below. The chain holding the car in place can withstand a maximum force of 3000 N. Rep ID Eq: Check Neat: Total: Correct ans: a) If the tow truck lifts its bed to an angle of -: 15, will the chain snap? Assume i neutral, so friction is negligible between the wheels of the car and the bed of the tr Later, the same tow truck picks up a minivan with a mass of 1500 kg. When the truck l b) With what acceleration does the minivan roll down the back of the truck? Assume angle of 20°, the chain holding the minivan breaks. is in neutral, so friction is negligible between the wheels of the minivan and the bec

Explanation / Answer

a) T=mg sin 15
=(900 kg)(9.8 m/s^2)(sin 15)
= 2282.78 N, T<3000 N
So, the chain will not snap.

b) i)T=mg sin 20
= (1500 kg)(9.8 m/s^2)(sin 20)
= 5027.69 N, T>3000 N
Therefore, the chain will snap.
ii) a= g sin20
= (9.8 m/s^2)(sin 20)
= 3.35 m/s^2

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