a mass of 46 kg rests on an smooth inclined plane at 38 degrees to the horizontal. It is supported by a rope held horizontally. Find the tension in the rope and the reaction of the plane on the mass.
Hello xiukhungDraw a diagram showing the forces acting on the mass:
- Its weight, N, vertically down
- The tension, , in the rope
- The normal reaction, , between the plane and the mass
Since the mass is in equilibrium, the sum of the vertical components of these forces is zero. So
Solve for .
The sum of the horizontal components is also zero. So:
Solve for .
Can you complete this now?
Grandad