Calculating Tension in a Pulley System at an Angle

In summary, the conversation discusses a problem involving two blocks, a pulling force, and a pulley. The equations and diagrams needed to solve the problem are mentioned, as well as the importance of considering the direction and components of the forces involved.
  • #1
mncyapntsi
38
4
Homework Statement
A 1.7kg book B2 is connected by a rope and pulley to a 6.3kg book B1.
We neglect friction.
B2 is on a horizontal surface, and B1 is on a 36.1º slope.
If the force pulling B1 is 28.2N what is the tension between the two books?
Relevant Equations
T=gm
Hi!
I really can't figure this one out...
I have a = (F-cos(36.1)g) = a and from that I get T = mB1 a = 6.3 (20.3736) = 128 N.
Could someone please help?
Thanks!
 
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  • #2
You need two equations that you get by drawing two free-body diagrams, one for each block. Is the slope above or below the horizontal? Is the pulling force parallel to the surface on which B2 slides? Please post a diagram.
 
Last edited:
  • #3
Where is the pulley? Please show a picture of the complete setup as was given to you.
 
  • #4
Screen Shot 2021-09-28 at 7.06.33 PM.png
 
  • #5
Thank you for the drawing. There is tension T acting on B2 in a direction opposite to F, no? Ideal pulleys change the direction of the force but not its magnitude. Also, check the components of the weight in your equation for B2.
 

FAQ: Calculating Tension in a Pulley System at an Angle

What is tension at an angle?

Tension at an angle is the force exerted by a string, cable, or other object that is pulled at an angle relative to its attachment points.

How is tension at an angle calculated?

Tension at an angle can be calculated using trigonometric functions, such as sine, cosine, and tangent, to determine the horizontal and vertical components of the tension force.

What factors affect tension at an angle?

The magnitude of the tension force at an angle is affected by the weight of the object being pulled, the angle of the pull, and the strength and elasticity of the string or cable.

How is tension at an angle used in real life?

Tension at an angle is used in a variety of real-life applications, such as rock climbing, construction, and engineering, to determine the maximum weight that can be supported by a string or cable at a specific angle.

What are some common misconceptions about tension at an angle?

One common misconception is that the tension force at an angle is always equal to the weight of the object being pulled. In reality, the tension force can be greater or less than the weight depending on the angle of the pull.

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