Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 5 - Force and Motion-I - Problems: 17b

Answer

72N

Work Step by Step

The first thing we do for problems with a ramp is to set our coordinate axes so that the x axis is parallel to the plane and the y axis is perpendicular to it. We then need to resolve Fg (Force of the weight of the block) into its x and y components in the new coordinate system. Using the angle given and similar triangles, we find that Fg,x = Fgsin($\theta$) and that Fg,y = Fgcos($\theta$). To find the Normal Force, we need to find all the forces acting on the block in the y direction. These are the Normal Force acting upwards and Fg,y acting downwards. Since the block is not moving, the net Force must be 0 meaning that N - Fg,y= 0. Therefore, N = Fg,y = (8.5kg)(9.8$m/s^2)cos(30) = 72N
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.