In the following diagram the wood block A has a mass of 1000 kg and the wood block B has a mass of (X+1000) kg. If block A is connected by a cable parallel to the incline, find the maximum incline (O) before block B starts to slide.
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- You are given the job of moving a refrigerator with a mass of 1.8 x 102 kg across a horizontal floor. The coefficient of static friction between the refrigerator and the floor is 0.45. Calculate the magnitude of the minimum force that is required just to set the refrigerator into motion.A block of mass M1 = 3 kg rests on top of another block of mass M2 = 5 kg. As shown in the figure, the top block is connected by a cord to a wall at left. The bottom block rests on a frictionless inclined plane of angle theta = 20o and has a force F applied to it down the plane. If the minimum force for which the bottom block will begin to slide has magnitude F = 2.5 N, what is the coefficient of static friction (us) between the two blocks?The figure shows a section of a cable-car system. The maximum permissible mass of each car with occupants is 2200 kg. The cars, riding on a support cable, are pulled by a second cable attached to the support tower on each car. Assume that the cables are taut and inclined at angle 0 = 39º. What is the difference in tension between adjacent sections of pull cable if the cars are at the maximum permissible mass and are being accelerated up the incline at 0.85 m/s²? Number Units Support cable- Pull cable
- A modification to an Atwood's Machine is to put one of the masses on a sloped surface (see diagam below). Two blocks are connected by a string as shown in the diagram. One mass m, = 3.50 kg is on the surface with negligible friction. This surface makes an of angle 30.0° with the horizontal. The second mass m, = 2.40 kg hangs vertically. m (a) What is the magnitude of the acceleration of each mass? m/s2 |m/s² m, = m2 = (b) What is the direction of the acceleration of m,? O not enough information O m2 accelerates upwards O m, accelerates downwards (c) What is the magnitude of the tension in the cord? NTwo ropes apply a force to a boat. The first is 400 N in the positive x direction, and the second is 200 N in the positive y direction. At what angle must a third rope tension be applied in order to keep the boat at restA block of mass 50.0 kg slides at uniform speed down a plane inclined at 12.0° to the horizontal. What is the coefficient of friction between the surfaces in contact? What force parallel to the plane is required to move the block at uniform speed up the plane?
- In Figure (a), a constant horizontal force F is applied to block A, which pushes against block B with a 21.0 N force directed horizontally to the right. In Figure (b), the same force is applied to block B; now block A pushes on block B with a 13.0 N force directed horizontally to the left. The blocks have a combined mass of 12.0 kg. What are the magnitudes of (a) their acceleration in Figure (a) and (b) force F. ? (a) Number i (b) Number i A B (a) Units Units BA (b)A block of mass m1 = 40 kg on a horizontal surface is connected to a mass m2 = 16.0 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.23. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass? (b) Determine the magnitude of the tension (in N) in the cord above the hanging mass.Two muscles in the back of the leg pull upward on the Achilles tendon, as shown in the figure. (These muscles are called the medial and lateral heads of the gastrocnemius muscle.) Find the magnitude, in newtons, of the total force on the Achilles tendon.