# Tension Rope and Blocks Problem

## Homework Statement

Two blocks, each with weight w, are held in place on a frictionless incline as shown in Figure. In terms of w and the angle a of the incline, calculate the tension in the rope connecting the blocks T = mg

## The Attempt at a Solution

I cannot for figure out why the answer is Wsin(a)! I thought that since Tsin(a) = mg, T = w/sin(a)

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You have to look at the forces that are pulling along the surface. The force pulling downwards the slope is ##F_d=mgsin(a)##, the force pulling up is just the tension ##T##. For the block to be not moving along the slope these two have to be equal to eachother.

gneill
Mentor

## Homework Statement

Two blocks, each with weight w, are held in place on a frictionless incline as shown in Figure. In terms of w and the angle a of the incline, calculate the tension in the rope connecting the blocks T = mg

## The Attempt at a Solution

I cannot for figure out why the answer is Wsin(a)! I thought that since Tsin(a) = mg, T = w/sin(a)
Hi DaveTan, Welcome to Physics Forums.

Take a close look at the geometry of a block on a slope. The weight W = Mg forms the hypotenuse of the force triangle: Thanks! But shouldn't tension be pointing in the other direction? So towards the top-right instead of bottom left?

haruspex