M1 Centre of Mass Moments Question

Seem to be struggling with this question, could anyone help out?

The centre of mass of a non-uniform beam AB, of weight W and length 4m, is at the point G. The beam rests horizontally on two supports X and Y, where AX = 1m and YB = 2m.
A weight W/4 is suspended from the beam at B. Given that the magnitude of the force exerted on the beam by support Y is three times the magnitude of the force exerted on the beam by support X, calculate the distance AG.

Thanks

Reply 1

TeeEm

19

Original post by cricketmaster

Seem to be struggling with this question, could anyone help out?

The centre of mass of a non-uniform beam AB, of weight W and length 4m, is at the point G. The beam rests horizontally on two supports X and Y, where AX = 1m and YB = 2m.
A weight W/4 is suspended from the beam at B. Given that the magnitude of the force exerted on the beam by support Y is three times the magnitude of the force exerted on the beam by support X, calculate the distance AG.

Thanks

http://www.thestudentroom.co.uk/showthread.php?t=403989

Reply 2

brianeverit

9

Original post by cricketmaster

Seem to be struggling with this question, could anyone help out?

The centre of mass of a non-uniform beam AB, of weight W and length 4m, is at the point G. The beam rests horizontally on two supports X and Y, where AX = 1m and YB = 2m.
A weight W/4 is suspended from the beam at B. Given that the magnitude of the force exerted on the beam by support Y is three times the magnitude of the force exerted on the beam by support X, calculate the distance AG.

Thanks

Have you drawn a diagram?
Lat AG=x then take moments about X and Y and solve simultaneously.

M1 Centre of Mass Moments Question

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