Q 16.

Expert-verified
Found in: Page 127

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

Which, if either, of the basketballs in FIGURE Q5.16 are equilibrium? Explain.Figure 5.16

basketball in figure which feel two forces is in equilibrium position.

See the step by step solution

Step 1. Given information

here in question given the two figure of basketballs which feel the different forces on it and its asked as to explain which basketballs are in equilibrium and given the

explanation why the given basketballs are in equilibrium.

In the figure one basketball feel two forces and other one feel three forces

Step 2

here the equilibrium means that when we do vector addition of the given system forces the net force is zero.

so by vector addition and newtons second law we can find the net force and decided the system is in equilibrium or not.

here we used Newton second law to find the which is

where,

is vector sum of all the forces acting on the object

is mass of the object

is acceleration of the object

Step 3

now draw the free body diagram of the basketballs

here two forces acting on the basketball tension and gravitational which cancel the each other because of opposite direction of the forces.

so here we can say that by Newtons second law if the object vector addition of the forces is zero then the object is called in the equilibrium.

there for this system is in equilibrium.

in above free body diagram shown that there are three forces applied to the basketball but when we take the vector addition of the above three forces then the net force is not zero so the system is not equilibrium

there for the system is not in equilibrium.