Two blocks each with weight w are held in place on a frictionless incline. In terms of w ans the angle theda of the incline, calculate the tension in a) the rope connecting the blocks; b) the rope that connects block A to the wall?

a) it was wsin(theda)
b) it was 2wsin(theda)
how should I have gotten these answers?

What is the component of weight of each block up the incline? ans: wsinTheta.

Break up the downward force of weight of each block into components up the plane, and normal to it.
Wnormal= wcosTheta
Wup= wsinTheta.

Make up a vector diagram to show this, I am certain it is in your text.

1 answer

The tension in the rope connecting the blocks is equal to the component of weight up the plane, Wup.

Tension = Wup = wsinTheta

The tension in the rope connecting block A to the wall is equal to the sum of the normal components of weight of both blocks, Wnormal.

Tension = Wnormal = 2wcosTheta