   Chapter 4, Problem 62P

Chapter
Section
Textbook Problem

Two blocks of masses m1 and m2 (m1 > m2) are placed on a frictionless table in contact with each other. A horizontal force of magnitude F is applied to the block of mass m1 in Figure P4.62. (a) If P is the magnitude of the contact force between the blocks, draw the free-body diagrams for each block. (b) What is the net force on the system consisting of both blocks? (c) What is the net force acting on m1? (d) What is the net force acting on m2? (e) Write the x-component of Newton’s second law for each block. (f) Solve the resulting system of two equations and two unknowns, expressing the acceleration a and contact force P in terms of the masses and force. (g) How would the answers change if the force had been applied to m2 instead? (Hint: use symmetry; don’t calculate!) Is the contact force larger, smaller, or the same in this case? Why? Figure P4.62

(a)

To determine
The free body diagram of each block.

Explanation

Given Info: Masses of the blocks are m1 and m2 . Contact force is P. The magnitude of horizontal force is F.

Explanation:

The free body diagram of m1 is,

(b)

To determine
The net force on the system.

(c)

To determine
The net force on mass m1

(d)

To determine
The net force on mass m2 .

(e)

To determine
The x component of Newton’s second law for m1 and m2 .

(f)

To determine
The acceleration and contact force.

(g)

To determine
The contact force when the horizontal force is applied on mass m2 .

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