Q. A pendulum of mass m hangs from a support fixed to a trolley.The direction of the string (i.e θ) when the trolley rolls up a plane of inclination α with acceleration "a" is
Q.A 50kg man is standing at one end of a 25m long boat.He starts running towards the other end.On reaching the other end his velocity is 2ms.If mass of the boat is 200kg , final velocity of the boat is
Q. A particle of mass 1kg is thrown up vertically with speed 100ms. After 5 sec it explodes into two parts.One Part of mass 400g comes back with speed 25ms.What is the speed of the other part just after the explosion ?
Please explain too
Thanks
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1 Answers
241)
let inclination of plane =θ
and angle string=α
from FBD
Tcosα-mg=ma.sinθ -----------(1)
Tsinα=ma.cosθ -----------(2)
Divide (1) by (2)
=>gsinα=acos(α+θ)
hint
2) COM doesnt displace
3) COM follows same trajectory as before explosion[1]