Tension at an Angle

The tightrope makes a 20° angle with the horizontal. Half of the person's 600 N weight creates the vertical force (Fy = 300N) on the tightrope. What is the tension in the tightrope?

• 282 N

• 103 N

• 319 N

• 877 N

Answer explanation

You are looking for R, the hypotenuse. You are given Θ and the opposite side.

Use Opp = hyp sin Θ and solve for hyp!

Tags

NGSS.HS-PS2-1

Determine the magnitude of the x-component of the 1000-N tension force at a 60° angle from the horizontal.

• 952.41 N

• 304.81 N

• 866.03 N

• 500 N

Tags

NGSS.HS-PS2-1

A block is suspended by two ropes at angles of 30° and 60° with the horizontal. If the tension in the first rope is 50 N, what is the tension in the second rope?

• 43.3 N

• 50 N

• 57.7 N

• 60 N

Tags

NGSS.HS-PS2-1

A 10 kg object is hanging from a ceiling by two ropes. One rope makes an angle of 45° with the ceiling, and the other makes an angle of 60°. What is the tension in the rope making a 45° angle?

• 70.7 N

• 98.1 N

• 100 N

• 120 N

Tags

NGSS.HS-PS2-1

Which of the following best describes the tension in a rope when a force is applied at an angle?

• Tension is always equal to the applied force

• Tension is the component of the force parallel to the rope

• Tension is the component of the force perpendicular to the rope

• Tension is independent of the angle

A rope is used to pull a sled at an angle of 30° to the horizontal. If the tension in the rope is 100 N, what is the horizontal component of the tension?

• 50 N

• 86.6 N

• 100 N

• 115.5 N

Tags

NGSS.HS-PS2-1

In an experiment, a rope is pulled at an angle of 45° with a force of 200 N. What is the vertical component of the tension?

• 100 N

• 141.4 N

• 173.2 N

• 200 N

A climber is supported by a rope that makes an angle of 60° with the vertical. If the tension in the rope is 500 N, what is the vertical component of the tension?

• 250 N

• 433 N

• 500 N

• 866 N

Tags

NGSS.HS-PS2-1

Two ropes are used to hold a 20 kg mass in equilibrium. One rope is horizontal, and the other is at an angle of 30° to the vertical. What is the tension in the angled rope?

• 113.2 N

• 196.2 N

• 226.2 N

• 392.4 N

Tags

NGSS.HS-PS2-1

NGSS.HS-PS2-4

A rope is attached to a wall at an angle of 45° and is used to support a 15 kg weight. What is the tension in the rope?

• 104.5 N

• 147.2 N

• 150 N

• 212.1 N

Tags

NGSS.HS-PS2-1