A force of magnitude 30 lbs acts on the end of a wrench as shown.  The wrench is 8 inches long and makes an angle of 30° from the  -x axis in the x-y plane as shown.  What is the torque exerted by this force around point P?  Give the magnitude and direction as a vector.

The answers are provided; please explain the purpose of each equation and why they were used Consider a bar of length 5.5 m, being acted on by three forces and constrained to rotate about its left end. The magnitudes of the first two forces are 19 N and 28 N and the first force is acting on the end of the bar at an angle of 43° What is the torque in newton-meters, due to F1 on this bar relative to the left end?   Ans. = 78.87 Nm Equation used: τ1 = rFsinθ   What is the torque in newton-meters, due to F2 on this bar relative to the left end, if this force is acting at the midpoint of the bar? Use a coordinate system with positive directed out of the screen. Ans. = 77 Nm Equation used: τ2 = F2 x (L / 2)   What is the magnitude of the force F3, in newtons, if the force is a distance 0.85 m from the left end and the bar is not rotating?  Ans. = 183.38 N  Equation used: F = (τ1 + τ2) / d

A wheel of inner radius r, = 13.4 cm and outer radius r, = 35.0 cm shown in the figure below is free to rotate about the axle through the origin O. What is the magnitude of the net torque on the wheel due to the three forces shown? (Assume F, = 3.80 N, F, = 6.60 N, and F = 14.6 N.) N. m 45.0 F,

A square, 0.144 m on a side, is mounted so that it can rotate about an axis that passes through the center of the square. The axis is perpendicular to the plane of the square. A force of 10.5 N lies in this plane and is applied to the square. What is the magnitude of the maximum torque that such a force could produce? Number Units

The diagrams show the application of six different forces to a wrench turning a bolt (blue hexagonal shape on the right). For which diagram(s) is the magnitude of the torque acting on the bolt the largest? (A) i 22 (B) ti (C) i (D) iv 2F JE (E) v (F) vi (G) i and iv 30 2F 30- L. (H) v and vi 2F Force applied to a wrench. In cases (i) and (iii), the force is applied halfway between the axis of rotation of the bolt (blue hexagon on the right) and the end of the wrench. (1) They are all the same

20kg mass is at the 1.25 meter mark. Package G is at 1 meter mark. What must the mass of object G be? Calculate the torque that each object creates. The 20 kg mass on the left creates a positive torque. If the system is in equilibrium, the magnitude of the torque on the right must equal the magnitude of the torque on the left.

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A man with a weight of 580N is doing push-ups. Please draw a free body diagram to show the forces and place the pivot point where it needs to go and explain why. To calculate the torque, Flsinθ, explain why an angle is not necessary for this problem? What is the force on each foot?

a meterstick is balanced at the 60.0 cm mark on a fulcrum. A 63.0 gram object is hung from the 10.0 cm mark and a 150 gram object is hung from the 95.0 cm mark. IF the meterstick is in balance and horizontal, what is the mass of the meterstick? What is the total counter-clockwise torque? WHat is the clockwize torque?

The two blocks in (Figure 1) are connected by a massless rope that passes over a pulley. The pulley is 16 cm in diameter and has a mass of 2.7 kg. As the pulley turns, friction at the axle exerts a torque of magnitude 0.75 Nm.  If the blocks are released from rest, how long does it take the 4.0 kg block to reach the floor?