Question 1

A ball weighing 50 N is held in equilibrium by two ropes, one horizontal and one at a 20° angle above the horizontal, as shown in the image. What is the tension in the horizontal rope?

Accepted Answer

$$17\ \mathrm{N}$$

Question 2

A ball weighing 50 N is held in equilibrium by two ropes, one horizontal and one at a 20° angle above the horizontal, as shown in the image. What is the tension in the angled rope?

Accepted Answer

$$18\ \mathrm{N}$$

Question 3

For the system in the image, what equation best represents Newton’s 2nd Law in the vertical (y) direction for the ball?

Accepted Answer

$$T_{C}\cos(20^\circ) - w = 0$$

Question 4

For the system in the image, what equation best represents Newton’s 2nd Law in the horizontal (x) direction for the ball?

Accepted Answer

$$T_{S} - T_{C}\sin(20^\circ) = 0$$

Question 5

If the ball in the image weighs 50 N and is in equilibrium, what is the vertical component of the tension in the angled rope?

Accepted Answer

$$50\ \mathrm{N}$$

Question 6

If the ball in the image weighs 50 N and is in equilibrium, what is the horizontal component of the tension in the angled rope?

Accepted Answer

$$17\ \mathrm{N}$$

Question 7

Which of the following best describes the forces acting on the ball in the image?

Accepted Answer

The force of gravity, the tension in the horizontal rope, and the tension in the angled rope.

Question 8

If the angle of the upper rope is increased to 30° while keeping the weight the same, what happens to the tension in the horizontal rope?

Accepted Answer

It decreases.

Question 9

If the ball in the image is replaced with a heavier ball (weight = 100 N), what is the new tension in the horizontal rope?

Accepted Answer

$$34\ \mathrm{N}$$

Question 10

If the horizontal rope in the image breaks, what will be the immediate direction of acceleration of the ball?

Accepted Answer

Downward and to the right.

Statics and Tension: Finding the Tension in a Rope Holding a Ball

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