Question

A uniform circular disc of mass 4m is free to rotate about horizontal axis in vertical plane. A particle of mass m at top is given a slight push. The hinge reaction when the particle reaches bottom is

Answer 1

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USING ENERGY CONSERVATION ON THE PARTICLE ONLY WE CAN THE SPEED WHEN IT IS AT THE BOTTOM POSITION.. BUT THE SOLUTION WHICH I SAW WAS A LENGTHY ONE

CHANGE IN PE=2*5/4R=CHANGE IN KINETIC ENERGY=1/2*MV^2 HENCE V=(5GR)^1/2

PLZ CONFIRM..

4. A uniform circular disc has radius R and mass m. A particle, also of mass m, is fixed t a point A on the edge of the disc as shown in the figure. The disc can rotate freely about a fixed horizontal chord PQ that is at a distance R/4 from the centre C of the disc. The line AC is perpendicular to PQ.

Initially the disc is held vertical with the point A at its highest position. It is the then allowed to fall so that it starts rotating about PQ. Find the linear speed of the particle as it reaches its lowest position.

Answer 2

A uniform circular disc has radius R and mass m. ... The disc can rotate freely about a fixed horizontal chord PQ that is at a distance ... Find the linear speed of the particle as it reaches its lowest position.