Beautiful Mechanics

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

1 Answers

24
eureka123 ·

1)
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]

Your Answer

Close [X]