How Does the Angle of a Simple Pendulum Affect Its Torque?

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SUMMARY

The discussion focuses on calculating the torque of a simple pendulum consisting of a 3.0 kg mass at the end of a 2.0 m string at angles of 5.0 degrees and 15.0 degrees from the vertical. The torque is determined using the equation torque = force x lever arm or torque = force x distance x sin(θ). The correct unit for torque is Newton-meters (Nm), not meters (m). Participants clarified the use of either the lever arm or the sine function in the torque calculation.

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Kiko:)
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A simple pendulum consists of a 3.0kg point mass hanging at the end of a 2.0m long light string that is connected to a pivot point.
A. Calculate the magnitude of the torque (due to the force of gravity) around this pivot point when the string makes a 5.0 degree angle with the vertical.
B. Repeat this calculation for an angle of 15.0 degrees.




I do know that the torque equation is torque=forcexlever arm. Also that sinO is included. Also that the units for torque are NxM. I'm having some trouble figuring this out. Please help me. :)
 
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Hi Kiko:)! :smile:

(have a theta: θ :wink:)

No, you don't use both lever arm and sinθ, you use one or the other.

Either use force x (perpendicular) distance from pivot to line of force (= lever arm),

or use force x distance from pivot to point of force x sinθ. :wink:

(oh, and the unit is m, not M)
 

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