The block-and-tackle system is released from rest with all cables taut. Neglect the mass and friction of all pulleys and determine the acceleration of each cylinder and the tensions T₁ and T₂ in the two cables.
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- .) The figure shows a vertical force applied tangentially to a uniform cylinder of weight F. The coefficient of static friction between the cylinder P and all surfaces is 0.500. The force P is increased in magnitude until the cylinder begins to rotate. In terms of F, find the maximum force magnitude P that can be applied without causing the cylinder to rotate. Suggestion: show that both friction forces will be at their maximum values when the cylinder is on the verge of slipping.A hoop of mass 3.00 kg and radius 1.00 m is moving at 3π rad/s across a horizontal surface. The coefficient of friction between the hoop and the surface is 0.65. Calculate how far the hoop will travel before it comes to rest.A 6.25 g quarter sits 25 cm from the axis of rotation on a turnable. The maximum period of rotation without the quarter slipping is 1.8 seconds. What must the coefficient of static friction be in order to keep the quarter from sliding outward when the turntable is in motion?
- Please AsapTwo transmission belts pass over a double-sheaved pulley that is attached to an axle supported by bearings at A and D. The radius of the inner sheave is 125 mm and the radius of the outer sheave is 250 mm. Knowing that when the system is at rest, the tension is 90 N in both portions of belt B and 150 N in both portions of belt C,determine the reactions at A and D. Assume that the bearing at D does not exert any axial thrust.A half-Atwood machine is made from a 2 kg box resting on a friction-less ramp (inclined 10 ̋above the horizontal) and a 1.5 kg box hangingfrom the other end of the string. The pulley is a disc with radius 20 cmand mass 1 kg. The system is released from rest.Determine the direction and magnitude of the hanging box’s acceleration.