Cable is unwound from a spool supported on small rollers at A and B by exerting a force T = 300 N on the cable. The spool and cable have a total mass of 540 kg and a radius of gyration of ko = 1.2 m. For the calculation, neglect the mass of the cable being unwound and the mass of the rollers at A and B. The rollers turn with no friction. (Figure 1) %3D
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- A bicycle mechanic is checking a road bike's chain. He applies force FF = 21 NN to a pedal at the angle shown in (Figure 1) while keeping the wheel from rotating. The pedal is 17 cmcm from the center of the crank; the gear has a diameter of 16 cmcm. What is the tension in the chain?The length of a bicycle pedal arm is 0.137 m, and a downward force of 126 N is applied to the pedal by the rider. What is the magnitude of the torque about the pedal arm's pivot when the arm is at an angle of (a)37.2°, (b) 90°, and (c) 180° with the vertical?Torque You are playing with the masking tape that came in your lab box. This tape has a thickness that is not small compared to the radius. You measure it and it has an outer radius of 6.40 cm and an inner radius of 3.95 cm. You weigh the tape roll and find that it has a mass of 79.5 g. Now you roll the tape like you would a hoop (Rolling tape 1 (00:05)). The video illustrates the idea of the motion - please do NOT use it for numerical values. You find that the tape starts from rest, and has a torque applied when you push on it with your finger. You push on the outer edge (perpendicular to the radial direction). This causes the tape to accelerate. After 0.75 seconds, you find that the tape has an angular velocity of 53.0 rpm (rotations / minute). What is the Force you applied to the tape to start the rotation? Your answer should have the following: 2 Decimal Places Correct SI Units Appropriate Signs for Vector quantity answers Answers must be in the following format: Written out and…
- answers: Q27) 2.4 Q28) 0.84 Q29) 94KWIn the following mechanism, T1 torque and F1 force act on the AB link. Equilibrium conditionSCD according to the superposition principle, the magnitude of torque required to be applied to the CB.obtain by making drawings? (F1 is vertical from mid point of ABIt is applied directly) O=40⁰, CB=3m, AB=2mA uniform disk of radius 0.521 m and unknown mass is constrained to rotate about a perpendicular axis through its center. A ring with the same mass as the disk is attached around the disk's rim. A tangential force of 0.201 N applied at the rim causes an angular acceleration of 0.107 rad/s2. Find the mass of the disk.
- In the figure, what magnitude of force F applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h = 0.267 m? The wheel's radius is r = 0.673 m and its mass is m = 1.75 kg. DFIn the figure, what magnitude of force applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h = 0.315 m? The wheel's radius is r = 0.642 m and its mass is m = 1.45 kg. Number Units Use correct number of significant digits; the tolerance is +/-2%10. Ā = -2â + -3ŷ and B = -4â + -4ŷ. Calculate R = Ã+B. Calculate 0, the direction of R. Recall that 0 is defined as the angle with respect to the +x-axis. A. 49.4° B. 130.6° C. 229.4° D. 310.6°
- A thin cord is wrapped around a uniform grindstone of radius 0.30 m and mass of 25 kg supported by bearings that produce negligible friction torque. The cord exerts a steady tension force on the grindstone, causing it to accelerate from rest to 60 rad/s in 12 s. (lgrindstone = 5 What is the magnitude of the tension force of the cord? O 5.6 N 11.3 N O 18.7 N O 37.5 NA 4 kg cat sits on a 30 kg, 4 m long beam that is supported by a cable. She sits 0.5 m in from the right, and the cable is supporting the beam at a point 1 m in from the left. The beam is free to rotate at the hinge. What is the tension in the cable and horizontal and vertical forces exerted by the hinge? What direction do the vertical and horizontal forces point?An 80 cm long thin rod whose axis of rotation is in the center has a mass of 0.142 kg. A 2.5 N force is applied at one end perpendicularly, while a second 1.5 N force is applied 10 cm from the opposite end. Both forces are applied in the same direction. (a) Find the angular acceleration. (b) Determine the force needed for the rod to be in equilibrium, if the third force is applied at a 300 angle halfway between the 2.5 N and the axis of rotation. (72.6; -5.5)