Torque at 90o This has NOTHING to do with torque but it comes up when you google images…go figure.

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Presentation transcript:

Torque at 90o This has NOTHING to do with torque but it comes up when you google images…go figure.

100 50 What are the net translational forces in: A body in translational equilibrium will have no acceleration in the x or y directions. However it still could be accelerating. Consider a teeter-totter, with a 100 kg student on one end and a 50 kg student on the other. Although the net translational forces are zero, the system has a net torque, so it is not in equilibrium. An object in equilibrium must have both translational and rotational equilibrium. What are the net translational forces in: The x-direction? ____________ The y-direction? ____________ 100 50

Torque is defined as: force x distance to pivot The second condition of equilibrium is that in order to have no rotation, there must be no net torque. Torque is defined as: force x distance to pivot τ = Fd Unit of torque: N·m

Ex: A torque of 24.0 Nm is needed to tighten a nut. If a person can apply a force of 100 N, what is the minimum length of wrench that is required?

Torque is a vector quantity, which must work in either the clockwise (c) or counterclockwise (cc) directions. If an object is in rotational equilibrium then: Στ = 0 or τc = τcc A few more terms we need to learn before we go on… Centre of Gravity: The position where the average weight of the object acts. Uniform Beam: a beam of uniform shape and density Arbitrary Position of Rotation: we can choose any point on an object and treat it as the point of rotation.

Ex: A 350 N store sign hangs from a pole of negligible mass Ex: A 350 N store sign hangs from a pole of negligible mass. The pole is attached to a wall by a hinge and supported by a vertical rope. What is the tension in the rope? Jen + Eric Store 1.3 m 2.0 m Extension: What are the vertical and horizontal components of the supporting force provided by the hinge?

Ex: Two students sit on opposite sides of an 800 N teeter- totter. Student 1 has a mass of 65 kg and sits at the very end of the teeter-totter. Student 2 has a mass of 90 kg. How far from the pivot should he sit in order to achieve equilibrium? 2.6 m

Ex: A 3500 kg truck is parked on a bridge a shown Ex: A 3500 kg truck is parked on a bridge a shown. If the bridge deck itself has a mass of 6500 kg find the supporting force provided by each of the two support posts. 5 m 15 m