A block with a mass of m = 39 kg rests on a frictionless surface and is
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A block with a mass of m = 39 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1. The second has a magnitude of F2 and acts on the body at an angle θ = 18° measured from horizontal.
(a) Draw a free body diagram for this block, assuming it is in static equilibrium.
(b) Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement.
(c) Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2 and the other variables of the problem. Assume that the surface it rests on is rigid.
(d) The two forces change such that F1 = 12 N and F2 = 19.25 N. Based on this change, the block may no longer be in static equilibrium. Find the block's acceleration in the x-direction, ax, in meters per second squared.
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
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