A block of mass m suspended …
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Gaurav Seth 5 years, 4 months ago
A block of mass m is suspended by a light thread from an elevator. the elevator is accelerating upward with uniform acceleration ‘a’.
we know, Newton's law doesn't valid in non-inertial frame of reference. so, we have to add Psuedo force just opposite direction of it motion to make inertial frame of reference.
so, tension in the thread = mg + ma→ [ Psuedo force]
tension = m(g + a)
now, we have to find displacement of elevator.
use formula, S = ut + 1/2 At²
here A is net acceleration acts on elevator.
here u = 0, A = a [ upward direction]
so, S = 0 + 1/2 at²
hence, displacement is 1/2at²
now, workdone = Tension × displacement
= m(g + a) × 1/2 at²
= 1/2 m(g + a)at² Joule
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