# Calculate the tension in the tie-rope between the rod and the wall

## Homework Statement

Hi again ,, My third Question of the day :
A 250-kg block is supported by a cable attached to a rod of mass 100 kg that can pivot
at the base.
a) Calculate the tension in the tie-rope between the rod and the
wall if it is holding the system in the position shown in Figure.
b) Find the horizontal and vertical forces exerted on the base of
the rod.

## The Attempt at a Solution

in the attachment you'll see the forces I assigned to the system ,, is it right ?? or should I have T2 (above mg) ?? if not I think the question will be too easy:
Fnet(x)=Fh-Tcos(20)
Fnet(y)=Fv+Tsin(20)-mg-Mg (but Tsin(20) = mg) so i can get T and Fv and Fh without even using the Torque ,, so any ideas ??

#### Attachments

• Equilibrium.JPG
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• Forces.JPG
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Shooting Star
Homework Helper
in the attachment you'll see the forces I assigned to the system ,, is it right ??

Where is the force which is acting along the rod? What balances T(cos 20) in your first diagram?

LowlyPion
Homework Helper
Consider the sum of the torques about the pivot.

Equilibrium means that they balance.

Where is the force which is acting along the rod? What balances T(cos 20) in your first diagram?

you mean mg ??

Consider the sum of the torques about the pivot.

Equilibrium means that they balance.

yea I got it ,, i thought at first that T(sin20) = mg but now i know what is my mistake ,, thanks guys