Question #108069

A simple pendulum consists

of a small object of mass 3.0 kg

hanging at the end of a 2.0-m-long

light string that is connected to a pivot point. (a) Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 5.0° angle with the vertical. (b) Does the torque increase or decrease as the angle increases? Explain.

of a small object of mass 3.0 kg

hanging at the end of a 2.0-m-long

light string that is connected to a pivot point. (a) Calculate the magnitude of the torque (due to the force of gravity) about this pivot point when the string makes a 5.0° angle with the vertical. (b) Does the torque increase or decrease as the angle increases? Explain.

Expert's answer

a)Moment is equal

"M_1=m g \\cdot {ON_1}=m g \\cdot L \\sin{\\alpha_1 }=3 \\cdot 9.81 \\cdot 2 \\cdot \\sin{5^0 }=5.13 Nm"

b) When "\\alpha_2 > \\alpha_1" then "ON_2>ON_1" as "M_2= mg \\cdot ON_2" then "M_2>M_1"

That is, with increasing angle, the moment increases

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