Two men of masses M and M+m start simultaneously from the ground and climb with uniform accelerations up from the free ends of a massless inextensible rope which passes over a smooth pulley at a height h from the ground. (a) Which man reaches the pulley first.
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![Two men of masses M and M+m start simultaneously from the ground and climb with uniform accelerations up from
the free ends of a massless inextensible rope which passes over a smooth pulley at a height h from the ground.
(a) Which man reaches the pulley first.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a30dc86-a335-4b27-961f-2e24cab51fe5%2Fb3601f2b-7e29-4806-84b6-0148af9acdad%2Fr6mvtzo_processed.jpeg&w=3840&q=75)
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- In the figure here three ballot boxes are connected by cords, one of which wraps over a pulley having negligible friction on its axle and negligible mass. The masses are ma = 27 kg, mg = 41 kg, and mc = 15 kg. When the assembly is released from rest, (a) what is the tension in the cord connecting B and C, and (b) how far does A move in the first 0.200 s (assuming it does not reach the pulley)? Assume the table surface frictionless. A В C (a) Number i Unit (b) Number i Unit >A mass m = 12 kg is pulled along a horizontal floor with NO friction for a distance d =6.6 m. Then the mass is pulled up an incline that makes an angle θ = 26° with the horizontal and has a coefficient of kinetic friction μk = 0.45. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 26° (thus on the incline it is parallel to the surface) and has a tension T =49 N. With work and conservation of energy, how far up the incline does the block travel before coming to rest? (Measured along the incline.)A block of mass 1.96kg is accelerated across a rough surface by a rope passing over a pulley, as shown in the figure below. The tension in the rope is 14.0N, and the pulley is 10.8cm above the top of the block. The coefficient of kinetic friction is 0.350. Calculate the value of x at which the acceleration becomes zero.
- Two ideal pulleys (massless and frictionless) form a pulley system that can lift a weight by pulling on the end of a massless rope, as shown below. The upper pulley is attached to the ceiling at point A, and the lower pulley is connected to a box of mass M = 10.0kg. (a) What is the tension in the rope if the box is accelerating upwards with a = 2.00 m/s^2? (b) What is the tension force at point A at the ceiling?A elevator accelerates upward in 3.2 s to a final speed of 7.2 m/s. Determine the apparent weight of a passenger with mass of 56 kg.A mass (M1=5.0 kg) is connected by a light cord to another mass (M2=3.0 kg) which slides on a frictional surface (μ1 = 0.25). moreover, another mass (M3=2.0 kg) is connected by a light cord to the mass M2. The coefficient of friction between M2 and M3 is μ2 = 0.2. The two pulleys (radius= 0.1 m) are identical and can rotate about a frictionless axle. If the moment of inertia of a pulley is 0.2 kgm2, what is the acceleration of M1? Calculate the tension of each string?
- P9 E4A small boat is being pushed up a ramp into the back of a flatbed truck. The boat is sitting at the top of the ramp, which is located 1.4 m above the ground. The boaters think the boat is safe there, and begin to walkaway. However, they have neglected the thin layer of ice that has formed on the ramp, which is angled at 30◦ up from the ground. Neglecting the friction between the boat and the ramp, how long do the boaters havebefore the boat reaches the bottom of the ramp?A system is made up of a pulley of radius a with no friction and mass , as well as a massless string of length L that is tied to some point masses m1 hanging on the left and some point masses m2 hanging on the right. Determine the system's acceleration by expressing it with a single degree of freedom.
- A monkey pushes a box of mass 25 kg in a straight line across a rough floor. The applied force F has magnitude 85 N and acts downward at an angle 0 = 10° with respect to the horizontal, as shown below. The box is initially at rest at the position x/ a). Find the coefficient of friction between the box and the floor. and it has speed v2 = 0.55 m/s at position x2 = 3.50 m. 0 m, b). What is the net work done? c). How much work (magnitude and sign) is done by the friction force? m Hint: this q involves constant acceleration, Newton's laws, workA toy jeep rolls down an incline at a constant velocity. The jeep's mass is m = 1.9 kg and the ramp makes an angle of θ = 17 degrees with respect to the horizontal. Assume the rolling resistance is negligible. Assuming the jeep experiences only air resistance in opposition to its motion, with magnitude Fr. Write an expression for the sum of the forces in the x-direction using the acceleration due to gravity, g, and the variables provided.