Consider the three boxes m₂=8.83 kg, m=10.6 kg and m=4.72 kg which are connected by massless cords passing over frictionless pulleys. The box mrests on a frictionless tabletop while box m and box m are suspended at the ends of the cords connected to box mb. What is the magnitude of acceleration and direction of motion of box m when the system is released from rest? mb ma mc
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- The figure below shows two blocks connected by a string of negligible mass passing over a frictionless pulley. m₁ = 4.8 kg and 8 = 12.0°. Assume that the incline is smooth. m, m₁ For what value of m₂ (in kg) will the system be in equilibrium? m₂ 23.1 kg = If the block has to slide down the incline with an acceleration of 1.1 m/s², what should be the value of m₂ (in kg)? m₂ kgm m2 30° 2 kg, are held together by a weightless cord and passes over a over a frictionless plane Two masses, mi = 1 kg and m2 = frictionless and weightless pulley. One object is constrained to move inclined at an angle of 30°. The system is initially at rest, then was allowed to move exclusively due the gravity. Find the system's acceleration. b. Find the tension of the cord the keeps the two objects moving together. а.At t = 0, a cart of mass m = 5 kg starts rolling down an incline, making an angle α = 20o with the horizontal. Initially the cart rolls down with no friction, but after traveling a distance of ∆ = 10 m it encounters a rough surface, where the coefficient of friction is k = 0.45. Find the acceleration of the cart along the incline (positive direction is downhill) after it encounters the rough surface. A.9.8 m/s2 B.9.2 m/s2 C.7.7 m/s2 D.3.6 m/s2 E.3.4 m/s2 F.-0.8 m/s2
- A large box of mass M is pulled across a horizontal, frictionless surface by a horizontal rope with tension T. A small box of mass m sits on top of the large box. The coefficients of static and kinetic friction between the two boxes are μs and μk, respectively. ▼ Part A Find an expression for the maximum tension Imax for which the small box rides on top of the large box without slipping. Express your answer in terms of the variables M, m, μs, and appropriate constants. VE ΑΣΦ T = Submit Previous Answers Request Answer ?m1 m2 F. m3 Three blocks are placed in contact with each other and their masses are ml = 10.9 kg, m2 = 20.9 kg, and m3 = 30.9 kg. The coefficients of kinetic and static friction between each pair of the surfaces in contact are 0.600 and 0.650, respectively. A horizontal pull F = 540 N to the right is exerted on the bottom block as shown in the figure. All the three blocks move together. Find the magnitude and direction of friction force on the top block m1. (g = 10.0 m/s² )(q1510)Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.
- two masses are connected by a light string that passing over a frictionless pulley. Mass m1 =3.34kg is on a 50.0-degree incline, and mass m2 =14.2 kg is hanging on the string. the system starts from rest. If the coefficient of the friction between m1 and the incline is 0.878, find the acceleration of the system, in m/s^2.Block 1 with mass 66 kg is sitting on a horizontal frictionless surface as shown below. It is attached to a string of negligible mass that goes over a pulley with negligible mass and negligible friction. The other end of the string is attached to block 2 with mass 254 kg. Find the magnitude of the common acceleration of the two blocks! A. a = 37.75 m/s² B. a = 13.25 m/s² C. a = 5.76 m/s² D. a = 0 m/s² E. a = 7.79 m/s² 1 2Now the block on the table has friction. Calculate the frictional force if the block is stationary. m = 8 kg M = 2.8 kg μs = 0.5 μk = 0.4
- A 250 gram block on a 30 deg inclined plane is attached by an inextensible string going over a frictionless pulley to a 500 gram hanging weight. The static and kinetic friction coefficients are .25 and .123. What is the acceleration of the blocks in cm/s² O 376 O 563.7 O455.2 O 292.4 O 192.4Two packing crates of masses m, = 10.0 kg and m2 = 3.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 3.00 kg crate lies on a smooth incline of angle 42.0°. Find the acceleration of the 3.00 kg crate. m/s2 (up the incline) Find the tenslon in the string. NA train car is accelerating with an unknown acceleration. There is a small mass hanging from a string that is attached to the ceiling of the train car. Because the train is accelerating forward, the mass is angled backwards at 6.4 deg. from the vertical. What is the magnitude of the train's acceleration?