# Math Help - static on inclined planes

1. ## static on inclined planes

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.

2. Hello xiukhung
Originally Posted by xiukhung
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.
Draw a diagram showing the forces acting on the mass:
• Its weight, $46g$ N, vertically down
• The tension, $\displaystyle T$, in the rope
• The normal reaction, $\displaystyle N$, between the plane and the mass

Since the mass is in equilibrium, the sum of the vertical components of these forces is zero. So
$N\cos 38^o = 46g$
Solve for $\displaystyle N$.

The sum of the horizontal components is also zero. So:
$T = N\sin38^o$
Solve for $\displaystyle T$.

Can you complete this now?