The door shown below pivots on its hinge without friction. When a force F is applied at the end of the door at an angle 0 to the door, it produces a torque r. If the same magnitude force was instead applied perpendicular to the door, what distance from the hinge should it be applied so that it produced same magnitude of torque?

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5. The door shown below pivots on its hinge without friction. When a force F is applied at
the end of the door at an angle 0 to the door, it produces a torqueT. If the same
magnitude force was instead applied perpendicular to the door, what distance from the
hinge should it be applied so that it produced same magnitude of torque?
Axis D
View from Above
(a)
L sin 0
(b)
L cos 0
(c)
(d)
Ltan 6
Transcribed Image Text:5. The door shown below pivots on its hinge without friction. When a force F is applied at the end of the door at an angle 0 to the door, it produces a torqueT. If the same magnitude force was instead applied perpendicular to the door, what distance from the hinge should it be applied so that it produced same magnitude of torque? Axis D View from Above (a) L sin 0 (b) L cos 0 (c) (d) Ltan 6
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