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A particle is acted on by forces given, in newtons, by
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- = A metal bar is in the xy-plane with one end of the bar at the origin. A force F =(9.00 N) î+(5.00 N) ĵ is applied to the bar at the point x = 3.00m, y 4.00m. (a) In terms of unit vectors î and ĵ, what is the position vector r* for the point where the force is applied? (b) What are the magnitude and direction of the torque with respect to the origin produced by F?arrow_forwardA 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. a. Find the force exerted by the ramp on the car’s wheels. b. Find the tension on the cable.arrow_forwardA 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. c. Suppose the wall where the other end of the cable was attached was replaced by a rotating motor. If the car is now accelerating towards the peak of the ramp at 3.00 m/s2 due to the rotating motor, how much tension is being exerted by the cable on the car?arrow_forward
- In a two-dimensional tug-of-war, Alex, Betty, and Charles pull horizontally on an automobile tire at the angles shown in the picture (the given angle is 137°). The tire remains stationary in spite of the three pulls. Alex pulls with force F→A of magnitude 202 N, and Charles pulls with force F→C of magnitude 179 N. Note that the direction of F→C is not given. What is the magnitude of Betty's force F→B if Charles pulls in (a) the direction drawn in the picture or (b) the other possible direction for equilibrium?arrow_forwardA 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. b. Find the tension on the cable.arrow_forwardA 1.50×103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car’s front at an angle 27.0◦ with respect to the ramp’s surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0◦ above the horizontal. a. Find the force exerted by the ramp on the car’s wheels.arrow_forward
- Determine the magnitude of the y-component of force Q (N) if P=108.8 N, Q = 72.5 N , θ= 42.25° and α = 43.45°. Round off only on the final answer expressed in 3 decimal places. Instead of units, indicate the direction of the y-component.arrow_forwardThe system shown consists of 3 cables. For instance; cable C12 joins points 1 and 2. The coordinates of point 1 are (7.79, 0, 0) m, those of point 2 are (0, 7.58, 9.77) m, and those of point 3 are (0, 7.58, -9.77) m. The force P = 99 kN. Determine the force in cable C14.arrow_forwardA metal bar is in the ry-plane with one end of the bar at the origin. A force F = (7.00 N)î+ (-3.00 N)j is applied to the bar at the point I = 3.00 m, y = 4.00 m. (a) In terms of unit vectors î and j, what is the position vector f for the point where the force is applied? (b) What are the magnitude and direction of the torque with respect to the origin produced by F?arrow_forward
- Consider the four forces to be in equilibrium. The force F2 has a magnitude of 70.0 N and is in the negative x-direction. The force F3 is in the positive y direction. The force F1 makes an angle =25.0o with respect to the positive z-axis. When projected onto the xy plane the force F1 makes and angle of =32.0o with respect to the positive x-axis. What is the magnitude of the force F4 if it is in the negative z-direction? Give your answer in Newton'sarrow_forwardA 3·a long straight rod (a = 0.8 m) is marked with four equally separated points: A, B, C, and D (points A and D are on the opposite ends of the rod). There are three external forces exerted on the rod: force F1 = 20.5 N is applied at point C perpendicular to the rod, force F2 = 23.5 N is applied at point D at an angle of θ = 34° relative to the rod's normal, and force F3 = 20.5 N is applied at point D parallel to the rod. Find the magnitude and direction of the torques produced by these forces relative to the points indicated below. The torque due to F1 relative to point A, τA(due to F1) The torque due to F1 relative to point B, τB(due to F1) The torque due to F1 relative to point C, τC(due to F1) The torque due to F1 relative to point D, τD(due to F1) The torque due to F2 relative to point A, τA(due to F2) The torque due to F3 relative to point A, τA(due to F3)arrow_forwardConsider the two force vectors D = (2.87 N)i + (-4.35 N)j + (1.93 N)k and F = (2.3 N)i + (4.18 N)j + ak.arrow_forward
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