Dynamic Assignment

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Q1.Coal is discharged from the tailgate A of a dump truck with an initial velocity vA = 2 m/s. Determine the radius of curvature of the trajectory described by the coal (a) at point A, (b) at the point of the trajectory 1 m below point A.

Q2.The two blocks shown are originally at rest. Neglecting the masses of the pulleys and the effect of friction in the pulleys and assuming that the coefficients of friction between block A and the horizontal surface are µs = 0.25 and µk = 0.20, determine (a) the acceleration of each block, (b) the tension in the cable.

Q3.A 0.5-kg collar is attached to a spring and slides without friction along a circular rod in a vertical plane. The spring has an undeformed length of 5 cm and a constant k = 400 N/m. Knowing that the collar is released from being held at A, determine the speed of the collar passes through B by using the principle of conservation of energy.

Q4.Arm AB has a constant angular velocity of 16 rad/s counterclockwise. At the instant when θ= 0, determine the acceleration (a) of collar D, (b) of the midpoint G of bar BD.

Q5.Two uniform disks and two cylinders are assembled as indicated. Disk A has a mass of 10 kg and disk B has a mass of 8 kg. Knowing that the system is released from rest, determine the acceleration (a) of cylinder C, (b) of cylinder D.The cylinders are attached to a single cord that passes over the disks. Assume that no slipping occurs between the cord and the disks.

Q6.The 4-kg rod AB is attached to a collar of negligible mass at A and to a flywheel at B. The flywheel has a mass of 16 kg and a radius of gyration of 180 mm. Knowing that in the position shown the angular velocity of the flywheel is 60 rpm clockwise, determine the velocity of the flywheel when point B is directly above C.  11.538 rad/s

 or 110.18 rpm
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