*120. Go A flatbed truck is carrying a crate up a hill of angle of inclination 0 = 10.0°, as the figure illustrates. The coefficient of static friction between the truck bed and the crate is u, = 0.350. Find the maximum acceleration that the truck can attain before the crate begins to slip backward relative to the truck. MAX mg sin e MAX mg cos e 0 = 10.0° W = mg W = mg = 10.0° H0 = 10.0° (a) (b) Free-body diagram of the crate
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- A block with mass m1 = 8.7 kg is on an incline with an angle θ = 37° with respect to the horizontal. The coefficients of friction are: μk = 0.36 and μs = 0.396. Another block with mass m2 = 15.5 kg is attached to the first block. The new block is made of a different material and has a greater coefficient of static friction. What minimum value for the coefficient of static friction is needed between the new block and the plane to keep the system from accelerating?a slab of mass m1 40 kg rests on a frictionless floor, and a block of mass m2 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40.A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?A 61 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 14° above the horizontal. (a) If the coefficient of static friction is 0.50, what minimum force magnitude is required from the rope to start the crate moving? (b) If μk = 0.31, what is the magnitude of the initial acceleration (m/s^2) of the crate?
- the coefficient of static friction between block A and a horizontal floor is 0.320, and the coefficient of static friction between block B and the floor is 0.300. The mass of each block is 2.00kg,and they are connected together by a cord. If a horizontal force F pulling on block B is slowly increased ,in a direction parallel to the connectin cord,until the block start sliding ,what is the magnitude of F at the instant that they start to slide?Two blocks are connected over a massless, frictionless pulley. Block m1 has a mass of 1.00 kg and block m2 has a mass of 0.400 kg. The angle θ of the incline is 30.0°. The coefficients of static friction and kinetic friction between block m1 and the incline are ?k = 0.400 and ?s = 0.500, respectively. What is the magnitude of the tension in the string?In the following figure m_1 = 20.0 kg and angle = 51.4 degrees. The coefficient of kinetic friction between the block and the incline is μ_k = 0.40. a) What must be the mass (m_2) of the hanging block if it is to descend 13.5 m in the first 3.00 s after the system is released from rest?
- A 100 N force, directed at an angle u above a horizontal floor, is applied to a 25.0 kg chair sitting on the floor. If u =0, what are (a) the horizontal component Fh of the applied force and (b) the magnitude FN of the normal force of the floor on the chair? If u =30.0, what are (c) Fh and (d) FN? If u =60.0, what are (e) Fh and (f) FN? Now assume that the coefficient of static friction between chair and floor is 0.420. Does the chair slide or remain at rest if u is (g) 0, (h) 30.0, and (i) 60.0?A ball of mass m1 = 4.0 kg and a block of mass m2 = 3.0 kg are attached by a lightweight cord that passes over a frictionless pulley of negligible mass. The block lies on an incline of angle 25o which has a coefficient of kinetic friction μk=0.20, while the ball hangs down over the pulley. As the block slides up the incline, find: a) the magnitude of the block’s acceleration b) the tension in the cordFour blocks with masses m1=5.00kg, m2= 5.10kg, m3= 7.00kg, m4= 7.20kg are pulled on a horizontal, frictionless surface by a 33.0 N force that makes a 34 degree angle with the horizontal. What is the magnitude of the tension between m2 and m3 blocks?
- In Fig, a slab of mass m1 =40 kg rests on a frictionless floor, and a block of mass m2 =10kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force of magnitude 100 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?A block of mass m1 = 3.9 kg is placed on top of a block with mass m2 = 5.4 kg. A force, F = is applied to m2, at an angle 16.1 degrees above the horizontal. If the coefficient of static friction between all moving surfaces is 0.42 and the coefficient of kinetic friction is 0.32, determine the magnitude of the minimum force that will get the blocks moving.In the figure, a slab of mass m1 = 40 kg rests on a frictionless floor, and a block of mass m2 = 10 kg rests on top of the slab. Between block and slab, the coefficient of static friction is 0.60, and the coefficient of kinetic friction is 0.40. A horizontal force F→ of magnitude 104 N begins to pull directly on the block, as shown. In unit-vector notation, what are the resulting accelerations of (a) the block and (b) the slab?