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Q. 14

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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

The sled dog in the figure drags sleds A and B across the snow. The coefficient of friction between the sleds and the snow is If the tension in rope is what is the tension in rope

The tension in rope is

See the step by step solution

Step by Step Solution

Step 1 : Given information

In the given figure, the sled dog in drags sleds A and B across the snow. The coefficient of friction between the sleds and the snow is 0.10. If the tension in rope 1 is 150 N,

Step 2 : Calculation

Consider the figure with direction of forces acting as :

Further, both A & B are moving together their accelerations will be the same. Let acceleration be {a}.

Consider the motion of sled A :

For this, consider different forces acting with their directions as

(1) Weight of A : (downward)

(2) is normal force of earth and is equal to its weight in upward.

(upward)

(3) The tension of the rope (forward), and

(4) The friction force (backward)

Equation of motion for A is

Substituting the values of given data in equation (1)

For motion of sled B : ---

consider different forces acting with their directions as

(1) Weight of the sled : (downward)

(2) is normal force of earth and is equal to its weight in upward.

(upward)

(3) The tension of the rope (forward),

(4) The friction force (backward) and

(5) The tension of rope (backward)

Equation of motion for B is

Substituting the values of given data in equation (3)

Step 3 : Final answer

The tension in rope

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