Hey there! Sign in to join this conversationNew here? Join for free
Turn on thread page Beta
    • Thread Starter

    Can someone please help me with the following questions:

    1) The diagram attached shows a uniform rectangular lamina ABCD free to rotate in a vertical plane about a smooth horizontal axis through 0, the midpoint of AD. The lamina is of mass 2m and the sides AB and BC are length a and 4a respectively. The angle ceta is the inclination of OD to the horizontal. Particles of mass 5m, 2m and 4m are attached at the points A,B and d respectively.

    Find, in terms of m, a, g and ceta, an expression for the anticlockwise moment about 0 of the four weights.

    When a force of magnitude P is applied at the point C and in the direction of CB, the system rests in equilibrium with AD horizontal and uppermost. Show that P=6mg and in this position, find the magnitude of the reaction at 0.

    2) A light inextensible string of length 4a has a particle A of mass attached at one end and a particle B of mass m attached at the other end. The string passes through a small smooth ring which is fixed at a point 0 at a distance 3a above a horizontal table. The system is hanging in equilibrium with 0B=2a when a smooth bead of mass 2m which is threaded on the string between 0 and B is released from rest at 0. The bead falls under gravity until it collides and adheres to the particle B to for a composite particle C.

    a) Given that the string remains taut, show that the speed of C immediately after the collision is squareroot(ga).
    b)find the speed of C immediately before it reaches the table.
    Attached Files
  1. File Type: doc M2QUES.doc (19.0 KB, 104 views)
    • Thread Starter

    can someone please help me?

    thank you.
“Yanny” or “Laurel”

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Write a reply...
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.