Atorin pendularn is made from a disk of massm·6,4 kg and radus R·0.79 m. A force

Question

Atorin pendularn is made from a disk of massm·6,4 kg and radus R·0.79 m. A force o, F·42.6 N exerted on the edge of the disk rotates the disk 1/4 of a revolution from equilbrium. 1) What is the torsion constant of this pendulum N m/rad Submt Hou cwrently have O submisslons for this question. Only 10 submission are aflowed You can make 10 more submissions for this question 2) What is the minimum torque needed to rotate the penduium a full revolution from equilibrium? You currently have O submissions for this question. Only 1O submission are aflowed You can make 10 more submíssions for this question. 3) what is the angular frequency of asclation of this torsion pendulam? radis Subm You currently have O suomissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 4) Which of the following would change the period of oscilation of this torsion pendulum? iareasing the mass decreasing the initial angular displacement replacing the disk with a sphere of equal mass and radius LT hanging the penduium in an elevator accelerating downward Submt You currently have O submissions for this question, Only 10 subynisslon are alowed You can moke 10 more submissions for this question. Homeworke HW12

Explanation / Answer

1) The rotational equivalent of F = kx will be T = k where T = torque = F*R

T = (42.6N)(0.79m) = 33.654Nm

k(/2)=33.654

k = 21.425 Nm/rad

2)

T = k(2) = 134.616 Nm

3)

= k/mr2 = (21.425/(6.4* 0.792))=2.316 rad/s

4)

Since the period of oscillation depends on the mass and inertia of the pendulum.

Increasing the mass and replacing the disk with sphere of equal mass and radius can change the period of oscillation

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