- #1
Vibhor
- 971
- 40
Homework Statement
[/B]
In the attached picture, the rope is being pulled by a constant force T. All the surfaces are smooth. The pulley and the rope are massless and frictionless. Find the acceleration of the wedge.(use g=10ms-2)
Homework Equations
The Attempt at a Solution
The normal force between the block and wedge is represented by N and acceleration of the wedge by 'a'.
Writing ∑F = Ma for the wedge in horizontal direction , ##Nsinθ + Tcosθ -T = Ma## .
Resolving forces on the block in direction perpendicular to the surface of wedge , ##N=mgcosθ##
Using the above two equations , a = ##\frac{mgcosθsinθ + Tcosθ -T}{M}## .
This gives a = 2.28ms-2 towards left. But the answer given is 1.3ms-2 .
Could somebody help me identify the mistake .
Thanks