Finding the magnitude of Torque

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To calculate the torque produced by a force of 75.0 N applied at an angle of 35.0° to a box with dimensions 2.51 m by 1.62 m, the correct approach involves using the torque formula t = rFsinθ, where θ is the angle between the radial vector and the force direction. The radial vector connects point O to the point of force application. It is crucial to determine this angle accurately, as it differs from the angle of the force with respect to the horizontal. This adjustment is necessary because the torque calculation changes when the angle is not 0° or 90°. Understanding the geometry of the situation is key to solving the problem correctly.
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Homework Statement



A force F = 75.0 N is applied to a box with dimensions y = 2.51 m, x = 1.62 m. The force is applied at an angle θ with respect to the horizontal. For θ = 35.0°, calculate the magnitude of the torque produced by F about the point O.
(reference attached picture)

Homework Equations



t=rFsinθ=r\botF=rF\bot

The Attempt at a Solution



For the other questions like this i just used t=rF when the angles were 0 and 90deg.
but now that it is at a 35deg angle the same formula doesn't work.

HELP PLEASE?
 

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In your formula for the torque, the angle θ corresponds to the angle between the radial vector (connecting the points O and F) and the direction of the force.
In your image, draw this radial vector and then you can see what the angle between the radial vector and the force is. Use this angle in the formula.
 
Thanks!
 

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