Which Way Will the Disk Rotate With Two Hanging Masses?

Finally, use the equation T = rFsin(phi) to determine the direction of rotation, with positive being counter clockwise and negative being clockwise. In summary, the circular disk with masses of 10g and 50g will experience forces of 4.5cm and 6.8cm away from the axis of rotation, with angles of 130 degrees and 98 degrees, respectively. To determine the direction of rotation, calculate the two forces using gravity and then use the equation T = rFsin(phi).
  • #1
ariclaire
1
0

Homework Statement



A circular disk has two masses acting on it, m1=10g, m2=50g. The forces caused by these masses are 4.5cm (F1) and 6.8cm (F2) away from the axis of rotation (center). The angles are 130 degrees (F1, and on outer side away from center) and 98 degrees (F2, also on outer edge away from center). Calculate F1 and F2. Which way will the disk rotate?

Homework Equations



T=rFsin(phi)

The Attempt at a Solution



I wasn't even really sure where to start with this one. Don't know if I'm missing some info or what.
 
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  • #2
Start by calculating the two forces using gravity (mg). Then find torque from these forces.
 

FAQ: Which Way Will the Disk Rotate With Two Hanging Masses?

What is the concept of "two masses hanging from a disk"?

The concept of "two masses hanging from a disk" is a physics problem that involves two masses connected by a string or rod and suspended from a rotating disk. The disk is fixed to a central axis and rotates at a constant speed.

How do you calculate the tension in the string or rod?

The tension in the string or rod can be calculated using Newton's second law of motion, which states that the net force on an object is equal to its mass multiplied by its acceleration. In this case, the forces acting on the masses are gravity and the centripetal force from the rotation of the disk. By setting these forces equal to each other, the tension in the string or rod can be calculated.

What factors affect the tension in the string or rod?

The tension in the string or rod is affected by the masses of the objects, the speed of rotation of the disk, and the distance between the masses and the central axis. As these factors change, the tension in the string or rod will also change.

What is the relationship between the tension and the speed of rotation?

There is a direct relationship between the tension in the string or rod and the speed of rotation of the disk. As the speed of rotation increases, the centripetal force also increases, resulting in a higher tension in the string or rod.

What happens to the masses if the tension in the string or rod becomes too high?

If the tension in the string or rod becomes too high, the string or rod may break and the masses will fall from the disk. This is because the tension must be strong enough to balance the forces acting on the masses, but if it becomes too high, the string or rod may not be able to withstand the force and will break.

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