A pendulum has a center of mass a length D from the pivot point. What is the res

Question

A pendulum has a center of mass a length D from the pivot point. What is the restoring torque due to gravity if it is pulled away from equilibrium by an angle ?? choose the correct answer mgD mgD cos(?) mg sin(?) mgD sin(?) 2) Which pendulum swings slowest? choose the correct answer A pendulum made from a wooden meter stick, swinging from one end. A pendulum made from a heavy steel meter stick, swinging from one end. A pendulum made from a heavy metal washer, hanging from a string 1 meter long. A pendulum made from a ruler, 30 cm long, hanging from one end. 3) see the picture in this link http://i50.tinypic.com/fwtvzd.png what would the period of a hoop be? T = 2pi sqrt(3R/2g) T = 2pi sqrt(2R/g) T = 2pi sqrt(2R/3g) T = 2pi sqrt(R/2g)

Explanation / Answer

1) mg sin

2) the length of the time period is seen from the point of centre of mass, so for heavy metal washer, hanging from a string 1 meter long, will have its centre of gravity at a distance of 1 m, so it will swing slowest

3) T = 2pi sqrt(3R/2g)

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