•57 ILW A block of mass m1 = 3.70 kg on a frictionless plane in- clined at angle 0 = 30.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.30 kg (Fig. 5-52). What are (a) the magnitude of the acceleration of each block, (b) the direction of the acceleration of the hanging block, and (c) the tension in the cord? m2 Figure 5-52 Problem 57.
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- •7SSMThere are two forces on the 2.00 kg box in the overhead view of Fig. 5-31, but only one is shown. For F1 = 20.0 N, a = 12.0 m/s2, and θ = 30.0°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) an angle relative to the positive direction of the x axis.Two blocks, with masses mA and mB, are connected to each other and to a central post by thin rods as shown in Fig. 5-41. The blocks revolve about the post at the same frequency f (revolutions per second) on a frictionless horizontal surface at distances rA and rB from the post. Derive an algebraic expression for the tension in each rod.The position of a particle according to the appropriate coordinate set can be vectorially specified in meters as r = i(sin2πt) -16j(1-e-t/4) + kt2/4 where t is the movement time of particle in seconds after passing its origin. If the mass of the particle is 2,4 kg, calculate the x component of its R force and the magnitude of its resultant force R at time t = 4s.
- Professional Application - During a visit to the International Space Station, an astronaut was positioned motionless in the center of the station, out of reach of any solid object on which he could exert a force. Suggest a method by which he could move himself away from this position, and explain the physics involved.An object of mass M hangs on a massless string of length 0.500 m attached to the ceiling. The object is then given an initial speed of 3.00 m/s in a horizontal direction. Determine the maximum angle made between the string and the vertical.The parameters of instantaneous speed, altitude, net engine thrust, and wind speed are given for the aircraft, which accelerates and moves at a fixed altitude of 5000 kg, while leaving a load of 150 kg. In case the air friction is neglected, calculate the distance between the load and the aircraft while falling to the ground.
- Professional Application During a visit to the International Space Station, an astronaut was positioned motionless in the center of the station, out of reach of any solid object on which he could exert a force. Suggest a method by which he could move himself away from this position, and explain the physics involved.Two boxes are connected by a rope that passes over a pulley (Figure 6-31). Box #1 is on a ramp inclined at 35° to the horizontal, and the coefficient of kinetic friction between the box and ramp is 0.54. The masses of the boxes are m1 5 2.5 kg and m2 5 5.5 kg. Neglecting the motion of the pulley and assuming that the velocity of each box is in the same direction as its acceleration, what is the magnitude of the acceleration of the boxes?Two blocks of masses 12 kg and 14 kg are placed in contact with each other on a frictionless horizontal surface. A constant horizontal force 88 N is applied to the block of mass 12 kg. Determine the magnitude of the acceleration of the two-block system. Answer should be in whole number.
- A block of mass m2 on a rough, horizontal surface is connected to a ball of mass m1 by a lightweight cord over a lightweight, frictionless pulley as shown in 5.21a. A force of magnitude F at an angle θ with the horizontal is applied to the block as shown, and the block slides to the right. The coefficient ofkinetic friction between the block and surface is μk. Determine the magnitude of the acceleration of the two objects.A block of wood is pulled by a horizontal stringacross a rough surface at a constant velocity witha force of 20 N. The coefficient of kineticfriction between the surfaces is 0.3. Themagnitude of force of friction isA.impossible to determine withoutknowing the mass of the block.B.impossible to determine withoutknowing the speed of the block.C.0.3 N.D.6 N.E.20 N.The parameters of instantaneous speed, altitude, net engine thrust and wind speed are given for the above 5000 kg aircraft, which accelerates and moves at a fixed altitude, while leaving a load of 150 kg. In case the air friction is neglected, calculate the distance between the load and the aircraft while falling to the ground.