a particle is suspended from a post on top of a cart by light string of length L

Question

a particle is suspended from a post on top of a cart by light string of length L. the cart and particle initially moving tot he right at a constant speed Vi, with the string vertical. the cart suddenly comes to rest when it runs into and sticks to a bumper. the suspended particle swings through an angle . a) show the orgiginal speed of the cart can be computed from vi=2gl(1-cos), b) if the bumper is still exerting a horizontal force on the cart when hanging particle is at maximum angle forward from the vertical at what moment does the bumper stop exerting a horizontal force ?

Explanation / Answer

a). at the moment the cart suddenly stop. the particle still has the velocity of Vi. so it go up the an angle of alpha conservation of energy. mv^2/2=mg*R*(1-cos alpha) so that v=sqrt(2gR(1- cos alpha)). b) the cart now is at rest, so its horizontal net force is zero. so only when the string is vertical, the force of the bumper exerte on the cart is zero.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.