   Chapter 4, Problem 63P

Chapter
Section
Textbook Problem

In Figure P4.63, the light, taut, unstretchable cord B joins block 1 and the larger-mass block 2. Cord A exerts a force on block 1 to make it accelerate forward. (a) How does the magnitude of the force exerted by cord A on block 1 compare with the magnitude of the force exerted by cord B on block 2? (b) How does the acceleration of block 1 compare with the acceleration of block 2? (c) Does cord B exert a force on block 1? Explain your answer. Figure P4.63

(a)

To determine
The force exerted by cord A on block 1 and cord B on block 2.

Explanation

From Newton’s second law, tension on cord A is,

TA=(m1+m2)a

• m1 and m2 are the masses of blocks 1 and 2 respectively.
• a is the acceleration.

From Newton’s second law, tension on cord B is,

TB=m2a

• m2 is the mass of block 2

(b)

To determine
The acceleration of the blocks.

(c)

To determine
The force exerted by cord B on block 1.

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