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imatreyu
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Homework Statement
A horizontal force F is applied to a frictionless pulley of mass m2. The horizontal surface is smooth. Show that the acceleration of the block of mass m1 is twice the acceleration of the pulley.
LOOKS LIKE THIS: http://cnx.org/content/m14060/latest/npq1.gif
But WITHOUT block B and its string.
Homework Equations
F=ma
The Attempt at a Solution
I drew separate force diagrams for m1 (the block) and m2 (the pulley. In the x direction, the block is only being acted on by T1 going in the pos. x direction. In the x direction, the pulley is being acted on by 2T1 and F. 2T1 is going in the neg. x direction. F, the opposite.
I have to show that a1= 2a2
So:
The pulley is in equilibrium:
F-2T1 = 0
m2a2 - 2(m1a1)=0
. . .and I don't know where to go from here. . . .I can't eliminate mass. . .
Thank you in advance!