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The diagram shows a simple pendulum consisting of a mass M suspended by a thin s

ID: 1395971 • Letter: T

Question

The diagram shows a simple pendulum consisting of a mass M suspended by a thin string. The magnitude of the tension is T. The mass swings back and forth between +-theta 0 (Give ALL correct answers in alphabetical order, i.e., B, AC, BCD...). A) T equals Mg when theta =theta 0 . B) T is smallest when theta =+-theta 0. C) T is greater than Mg for theta =theta 0 . D) T=Mg at some angle between zero and theta 0 . E) T is largest at the bottom theta = 0 . F) T depends on theta. G) The vertical component of tension is constant. Yes, Computer gets: BDEF 19. If for the simple pendulum above, M=1.39kg, the length of the string=0.910m, and +-theta 0=53.5 degree, find the maximum kinetic energy of the mass during an oscillation. Answer:

Explanation / Answer

BDEF


The body gets maximum kinetic enrgy at its lowest point.

Apply Conservation of enrgy,

gain in kinetic enrgy = loss in potential enrgy

KEmax = m*g*h (here h is diffrence hight at the pendulum moves from extrme point to lower point)

= m*g*L*(1 - cos(theta0))

= 1.39*9.8*0.91*(1 - cos(53.5))

= 5.02 J