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Q. 16

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 177

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Short Answer

shows two blocks connected by a rope. A second rope hangs beneath the lower block. Both ropes have a mass of . The entire assembly is accelerated upward at by force

a. What is F?

b. What is the tension at the top end of rope ?

c. What is the tension at the bottom end of rope ?

d. What is the tension at the top end of rope ?

(a) The force F is

(b) The tension at the upper part of the rope is

(c) The tension at the lower part of the rope is

(d) The tension at the upper part of the rope is

See the step by step solution

Step by Step Solution

Step 1: Given information (part a)

Mass of rope

Mass of rope

Mass of

Acceleration of the whole system

Step 2: Explanation (part a)

Consider the motion of the system:

For this, consider different forces acting in their directions as

Weight on the system (downward), W = weight of B + Weight of rope + Weight of rope

The force on the system (upward), F = Force on A + Force on B + Force on rope + Force on the rope

Substituting the values

Step 3: Given information (part b)

Mass of rope

Mass of rope

Mass of

Acceleration of the whole system

Step 4: Explanation (part b)

Consider the motion of the system just below block A.

For this, consider different forces acting in their directions as

Weight on the system (downward), W = weight of B + Weight of rope + Weight of rope

The force on the system (upward), F = Force on A + Force on B + Force on rope + Force on rope

Step 5: Given information (part c)

Mass of rope

Mass of rope

Mass of

Acceleration of the whole system

Step 6: Explanation (part c)

Consider the motion of the system:

For this, consider different forces acting in their directions as

Weight on the system (downward), W = weight of B + Weight of rope 1 + Weight of rope

The force on the system (upward), F = Force on A + Force on B + Force on rope + Force on the rope

Step 7: Given information (part d)

Mass of rope

Mass of rope

Mass of

Acceleration of the whole system

Step 8: Explanation (part d)

Consider different forces acting with their directions as weight (downward),

W= weight of the rope 2

The force (upward), F= Force of rope 2

The equation of motion is

Substituting the value of the given data in equation

Tension T is

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