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2 Questions about statics of rigid bodies

A cable of length 8.5 m is attached to the two posts as shown in Fig. 6. The crate has a mass of 1000 kg. Find the x and y components of the forces exerted by the cable on the eyebolts and find the tension force in the cable.

[itex]\theta = \arctan\frac{2}{1.125}[/itex]

[itex]\theta = 60.64[/itex]

[itex]2T\sin 60.64 = 1000 * 9.8[/itex]

[itex]T = 5622.13N[/itex]

[itex]T_x = 5622.13\cos 60.64 = 2756.5N[/itex]

[itex]T_y = 5622.13\sin 60.64 = 4900.5N[/itex]

My question is regarding my free body diagram, I didn't exactly know how to draw it since the box acted its weight not at a point but along a stretch of wire.

So I drew the FBD according to an imaginary point along the centre of gravity concurrent with the cable's tension, is this correct?

This one is really tough, I just need a hint on this problem. All I got was that the pressure would be minimum at r=0m(the centre) and maximum where r=19.6m and theta=0(at the south perimeter).

Not sure how I could find the constants C1 and C2.

Thanks for reading.

## Homework Statement

A cable of length 8.5 m is attached to the two posts as shown in Fig. 6. The crate has a mass of 1000 kg. Find the x and y components of the forces exerted by the cable on the eyebolts and find the tension force in the cable.

## The Attempt at a Solution

[itex]\theta = \arctan\frac{2}{1.125}[/itex]

[itex]\theta = 60.64[/itex]

[itex]2T\sin 60.64 = 1000 * 9.8[/itex]

[itex]T = 5622.13N[/itex]

[itex]T_x = 5622.13\cos 60.64 = 2756.5N[/itex]

[itex]T_y = 5622.13\sin 60.64 = 4900.5N[/itex]

My question is regarding my free body diagram, I didn't exactly know how to draw it since the box acted its weight not at a point but along a stretch of wire.

So I drew the FBD according to an imaginary point along the centre of gravity concurrent with the cable's tension, is this correct?

## Homework Statement

## The Attempt at a Solution

This one is really tough, I just need a hint on this problem. All I got was that the pressure would be minimum at r=0m(the centre) and maximum where r=19.6m and theta=0(at the south perimeter).

Not sure how I could find the constants C1 and C2.

Thanks for reading.