A pendulum of mass m hangs from a support fixed to a trolley. The direction of the string (i.e. angle θ) when the trolley rolls up a plane of inclination α with acceleration a is
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a
0
b
tan-1 α
c
tan-1 a + g sin αg cos α
d
tan-1 ag
answer is C.
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Detailed Solution
Tsinθ-mgsinα=maand Tcosθ=mgcosαFrom these two equations, we gettanθ=a+gsinαgcosα⇒θ=tan-1a+gsinαgcosα
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A pendulum of mass m hangs from a support fixed to a trolley. The direction of the string (i.e. angle θ) when the trolley rolls up a plane of inclination α with acceleration a is