The diagram shows a simple pendulumconsisting of a mass M suspended by a thin st

Question

The diagram shows a simple pendulumconsisting of a mass M suspended by a thin string. The magnitude ofthe tension is T. The mass swings back and forth between + - theta 0(Give ALL correct answers, i.e., B, AC, BCD...). A) T is smallest when theta =+ - theta 0. B) T is largest at the bottom theta = 0 . C) T depends on theta. D) T equals Mg when theta =theta 0 . E) T is greater than Mg for theta =theta 0 . F) T=Mg at some angle between zero and theta 0 . G) The vertical component of tension is constant.

Explanation / Answer

ABCF A T is smallest at =0      see explanationbelow B the string supports the entire weight of the mass + providesthe centripetal force for the swinging mass C the tension definitely depends on F   T  = m g cos0      the bob ismotionless (part of the weight is in the tension and part of theweight acts as a restoring force)                                       if 0were 90 deg then T would be zero m g cos 0 < T < mg + mv2 / L     T varies between thesevalues

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