We will look at an example where several forces are acting on an object, but in

Question

We will look at an example where several forces are acting on an object, but in this case the forces are not all along the same axis. As shown in(Figure 1) , a car engine with weight w hangs from a chain that is linked at point O to two other chains, one fastened to the ceiling and the other to the wall. Find the tension in each of the three chains, assuming that w is given and the weights of the chains themselves are negligible.

A:If we change the angle of the upper chain from 60? to 45?, determine the new tension for T1, assuming the engine weighs 2600 N .

B:If we change the angle of the upper chain from 60? to 45?, determine the new tension for T2, assuming the engine weighs 2600 N .

C:If we change the angle of the upper chain from 60? to 45?, determine the new tension for T3, assuming the engine weighs 2600 N .

Explanation / Answer

given

w = 2600 N

As the engine is in equilibrium, net force acting it must be zero.

T1 - w = 0

T1 = w

= 2600 N

point O is also in equilibrium, so net force acting on O is also zero.

Fnety = 0

T3*cos(45) - T1 = 0

T3 = T1/cos(45)

= 2600/cos(45)

= 3677 N

Apply Fnetx = 0

T3*cos(45) - T2 = 0

T2 = T3*cos(45)

= 3677*cos(45)

= 2600 N

so, T1 = 2600 N

T2 = 2600 N

T3 = 3677 N

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