What is the tension in cable 1 for a hanging chandelier?

In summary, for the first question, the tension in cable 1 is represented by T_1 and can be expressed in terms of m, theta_1, theta_2, and g. For the second question, the mass of the block of ice can be found by using the given force and displacement values and solving for acceleration, which is constant in this case.
  • #1
cece
9
0
hello I'm having trouble with this question.

Hanging Chandelier

A chandelier with mass m is attached to the ceiling of a large concert hall by two cables. Because the ceiling is covered with intricate architectural decorations (not indicated in the figure, which uses a humbler depiction), the workers who hung the chandelier couldn't attach the cables to the ceiling directly above the chandelier. Instead, they attached the cables to the ceiling near the walls. Cable 1 has tension T_1 and makes an angle of theta_1 with the ceiling. Cable 2 has tension T_2 and makes an angle of theta_2 with the ceiling.

http://session.masteringphysics.com/problemAsset/1010934/37/MFS_1l_3_v1_a.jpg

Find an expression for T_1, the tension in cable 1, that does not depend on T_2.
Express your answer in terms of some or all of the variables m, theta_1, and theta_2, as well as the magnitude of the acceleration due to gravity g.

T_1=?
 
Physics news on Phys.org
  • #2
Second question: A dock worker applies a constant horizontal force of 80.0 N to a block of ice on a smooth horizontal floor. The frictional force is negligible. The block starts from rest and moves 12.0 m in the first 6.00 s.

What is the mass of the block of ice?

m=?kg

please help me
 
  • #3
For your first question, draw the vertical line from the top of the chandelier to the ceiling. You know that the hypotenuses of the two right triangles formed are T1 and T2. Analyze the horizontal and vertical forces on the chandelier separately--you can find their values (or at least their values in terms of the given variables) through trigonometry.

For your second question, remember that constant force means constant acceleration in the absence of friction, because F = ma, and mass is constant. You need to find the mass, but you should be able to find acceleration with the information given (look at your kinematic equations).
 

1. What is Newton's Law of Motion?

Newton's Law of Motion is a set of three physical laws that describe the relationship between an object's motion and the forces acting upon it. These laws were developed by Sir Isaac Newton in the 17th century and are considered to be the foundation of classical mechanics.

2. What are the three laws of motion?

The three laws of motion are:

  • First Law: An object at rest will stay at rest and an object in motion will stay in motion with a constant velocity, unless acted upon by an external force.
  • Second Law: The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
  • Third Law: For every action, there is an equal and opposite reaction.

3. How do Newton's laws of motion apply to everyday life?

Newton's laws of motion are applicable to many everyday situations, such as driving a car, playing sports, or simply walking. For example, when driving a car, Newton's second law explains how the car accelerates or decelerates based on the amount of force applied to the gas or brake pedal and the car's mass.

4. Can Newton's laws of motion be broken?

No, Newton's laws of motion are fundamental principles of physics and have been extensively tested and proven to be accurate. However, there are some situations, such as at the atomic or quantum level, where these laws may not accurately describe the behavior of objects.

5. How did Newton's law of motion change our understanding of the world?

Newton's law of motion revolutionized our understanding of the physical world by providing a mathematical framework for describing and predicting the behavior of objects in motion. This led to advancements in fields such as engineering, mechanics, and astronomy, and laid the foundation for future scientific discoveries and technologies.

Similar threads

Replies
2
Views
5K
  • Introductory Physics Homework Help
Replies
2
Views
26K
  • Introductory Physics Homework Help
Replies
4
Views
3K
  • Introductory Physics Homework Help
Replies
2
Views
5K
  • Introductory Physics Homework Help
Replies
5
Views
13K
  • Introductory Physics Homework Help
Replies
2
Views
12K
  • Introductory Physics Homework Help
Replies
3
Views
9K
  • Introductory Physics Homework Help
Replies
10
Views
5K
  • Introductory Physics Homework Help
Replies
2
Views
9K
Replies
14
Views
2K
Back
Top