Two blocks of mass M₁ and M₂ are connected by a massless string that passes over a massless pulley as shown in the figure. M₁ has a mass of 3.75 kg and rests on an incline of 0₁ = 65.5°. M₂ rests on an incline of 02 = 23.5°. Find the mass of block M₂ so that the system is in equilibrium (i.e., not accelerating). All surfaces are frictionless. M2 M₂ = kg
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- A 6000 N elevator from rest attains an upward velocity of 6m/s in 4 seconds with uniform acceleration. If a 400 N man is standing inside the elevator, compute the apparent weight of man and tension of the supporting cable.The three masses shown in the figure are in equilibrium and the inclined plane is frictionless.If θ = 30.7°, m2 = 2.00 kg, and m3 = 4.24 kg, determine the mass m1 and the magnitude of the tension T in the string connecting m2 and m3.Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction μk = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 253.5 N at an angle θ = 30.35° as shown. Knowing that the assembly is initially at rest, what is the time when the velocity reaches to 3 m/s? Also, at this instant, find the tension in the cord and the velocity of block A.
- A force of magnitude 7.50 N pushes three boxes with masses m1=1.30kg ,m2=3.20kg, and m3=4.90kg. Find the magnitude of the contact force between boxes 1 and 2.The masses of the red and blue wagons are 6.09 kg and 2.63 kg, respectively. If the red wagon is pulled by 18.9 N force, the tension (N) in the cable connecting the two wagon of the system is:A magnet of mass 4.72 kg is suspended from the ceiling by a cord as shown. A large magnet is somewhere off to the right, pulling on the small hanging magnet with a constant force of F = 57.1 N. At what angle theta ?with respect to the vertical does the magnet hang? Consider the same situation as in the previous problem. This time the magnet has mass 6.62 kg and the force pulling the magnet to the right has magnitude 180.6 N. What is the magnitude of the tension force in the cord? Same situation as in the previous problem this time the magnet has mass 7.25 kg, the force pulling it to the right is 111.3 N, the cord has length 0.54 m and the ceiling is 2.82 m above the floor. How far to the right of its start point will the magnet have traveled when it hits the floor after the cord is cut? OK, one more time. This time the magnet has mass 6.78 kg and the force pulling it to the right is 175.5 N. When the magnet hits the floor, it continues being pulled to the right by the same…
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- What is the tension acting vertically in an a chilled of a heel, for a person standing still on horizontal ground on the ball of one foot and lifting the heel just off the ground? Take the weight of the person to be 600 N, the displacementThe figure shows an object of mass ?1 = 1.0 kg on an inclined frictionless surface. The angle of theinclined surface is ? = 25 with respect to the horizontal. The object of mass ?1 is connected by anideal string over an ideal pulley to a second object of mass ?2 = 2.05 kg on a horizontal frictionlesssurface below the overhang that is formed by the inclined surface. Furthermore, an external force ofmagnitude ???? = 10 N is exerted on the object with a mass ?1. We observe both objects accelerate. i. Draw separate free-body diagrams of all the forces acting on the two objects ii. Calculate the tension in the string connecting the two objects.There is a particle with mass m = 2 kg attached to a smooth wire that is positioned horizontally so that the particle can only move freely in the horizontal direction. The particle initially moves with a constant velocity V0, = 7 m/s to the right, which is then pulled by a constant force at an angle that varies with time as shown below. If the function of the angle is θ(t) = 0.2t +0.3, where is calculated in radians and t is in seconds, and the magnitude of the constant force is F = 10 N. then calculate: (Review only for 0.3≤θ≤? ) a. The time it takes for the particle to reach its maximum acceleration! b. The velocity of the particle when the force is exactly on the vertical axis!)