A bag of cement weighing 525 N hangs in equilibrium from three wires as suggeste

Question

A bag of cement weighing 525 N hangs in equilibrium from three wires as suggested in the figure below. Two of the wires make angles ?1 = 56.0

A bag of cement weighing 525 N hangs in equilibrium from three wires as suggested in the figure below. Two of the wires make angles ?1 = 56.0 degree and ?2 = 39.0 degree with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2, and T3 in the wires. An object of mass m = 1.00 kg is observed to have an acceleration of a rightarrow with a magnitude of 10.7 m/s2 in a direction ? = 60.5 degree east of north. The figure below shows a view of the object from above. The force F rightarrow 2 acting on the object has a magnitude of 5.27 N and is directed north. Determine the magnitude and direction of the force F rightarrow 1 acting on the object.

Explanation / Answer

1)

x=theta

T3=W =525 N

T1 =T3/[sinx1+cosx1tanx2] =525/[sin56+cos56tan39]

T1=409.56 N

T2=T1(cosx1/cosx2) =409.56(cos56/cos39]

T2=294.7 N

so

T1=525 N

T2=294.7 N

T3=525 N

b)

ax=acos60.5 =10.7cos60.5

ax=5.27 m/s^2

F=max=1*5.27 =5.27 N towards east

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