College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- A waiter holds two plates of food in one hand. His forearm has a mass of 2.8kg and the centre of mass of his forearm is located 11cm from his elbow joint. The centre of mass of the two plates is located 32cm from his elbow joint and the total mass of the two plates is 1.75kg. His bicep is attached to the bones of his forearm is 3.6cm from his elbow joint. Assume his forearm is held completely horizontal. a. What is the torque produced by the mass of the two plates? Torque = Nm b. What is the torque produced by the mass of the waiter's forearm? Torque = Nm c. What force must be exerted by the waiter's biceps muscle to ensure that the plates and forearm are motionless? =ONŷ Force =arrow_forwardA square, 0.862 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 40.8 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?arrow_forwardThe figure below shows forces acting at various points on a metal rod. The angles α = 40°, B = 25°, y = 17°. The length . l = 4.6 m. Find the net torque (in N · m) on the rod about the following axes. 25 N α of 12 30 N 10 N (a) an axis through O perpendicular to the page magnitude direction ---Select--- N⚫ m (b) an axis through C perpendicular to the page magnitude direction ---Select--- N⚫m Oarrow_forward
- A pair of forces with equal magnitudes, opposite directions, and different line of action is called a "couple". When a couple acts on a rigid object, the couple produces a torque that does not depend on the location of the axis. The figure shoes a couple acting on a tire wrench, each force being perpendicular to the wrench. Let L=0.438 m and F =20.6 N. Determine the torque produced by the couple when the axis is perpendiular to the tire and passe through (a) point A, (b) point B, (c) point Carrow_forwardhere are lots of ways to play the classic game "spin the bottle". The figure below shows three ways. In each case, assume that the magnitude of the force is the same. O O B B A amb u In which case will the magnitude of the torque be greatest? A B exc C Oc C it's not possible to tell without specifying the size of the grid spacingarrow_forwardProblem 22: To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. Part (a) Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. Part (b) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 2.19m, ry = 0.025 m, rz = 0.035 m, Fx = -7.8 N, Fy = 1.2 N, Fz = 2.2 N. Part (c) If the moment of inertia of the beam with respect to the pivot is I = 494 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.arrow_forward
- axis is directed perpendicular to the plane of a square as shown in the figure. Two forces, F₁ and F2, are applied to diagonally opposite corners and act along the sides of the square, first as shown in part a and then as shown in part b of the figure. In each case the net torque produced by the forces is zero. The square is 1.00 m on a side, and the magnitude of F₂ is two times that of F₁. What are the distances a and b? F₁ t Axis F₂ O a=0.50 m, b = 0.50 m Oa=0.40 m, b = 0.50 m O a 0.20 m, b = 0.40 m a=0.40 m, b = 0.20 m a = 0.40 m, b = 0.40 m F₁ b (b) F₂arrow_forwardThe fishing pole in the figure below makes an angle of 20.0° with the horizontal. What is the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand if the fish pulls on the fishing line with a force F = 108 N at an angle 37.0° below the horizontal? The force is applied at a point L = 1.80 m from the angler's hands. (Enter the magnitude in N · m, accurate to at least the nearest integer.) What If? To reel in the fish, the angler now pulls back on the fishing rod, increasing the angle it makes with the horizontal to 41.0°. If the fish still applies the same force in the same direction, what is the increase in the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand? (Enter the magnitude in N · m.)arrow_forwardThe figure below shows a fisherman with a fishing pole that makes an angle of 20.0° above the horizontal. The distance from the fisherman's hand to the tip of the pole is L = 1.87 m. A fish is on the line, and it pulls the line with a force of F = 124 N at an angle 37.0° below the horizontal. What is the magnitude of the torque (in N · m) exerted by the fish about an axis perpendicular to the page and passing through the fisherman's hand?arrow_forward
- The ladder in the picture has a mass of 34 kilograms and a length 3.2 meters. Fn=333.2N a.Assume that the ladder's weight is evenly distributed, so it can be treated as a single force through the middle. If the ladder is at a 69° angle from the ground, what is the torque exerted by the weight (using the floor as the pivot point)? b.The torque from the ladder must be balanced by the torque caused by the normal force on the wall. Calculate this force. c.The normal force from the wall must be balanced by the friction force from the floor. Determine the minimum coefficient of friction to keep the ladder from slipping.arrow_forwardA worker opens a 1.50 m wide door by pushing on it with a force of 39.5 N directed perpendicular to its surface. ENT (a) What magnitude torque (in N. m) does she apply about an axis through the hinges if the force is applied at the center of the door? N.m (b) What magnitude torque (in N. m) does she apply at the edge farthest from the hinges? N. marrow_forwarda)Which of the following equations may be derived from the fact that the torque about point O must be 0? 1. F + W = f 2. F sinθcos θ= f 3. F = f 4. F cos2θ= f 5. W = f 6. F sinθ= f b)Which of the following may be derivived from the fact that the vertical component of force must be 0? 1. F sinθ = f 2. F sinθ = f + W 3. F sinθ = W 4. F sinθ + f = W 5. F cosθ + W = f c) Attached photoarrow_forward
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