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A kicking-simulation attachment goes on the front of a wheelchair, allowing athletes with mobility impairments to play soccer. The athletes load up the spring shown through a ratchet
Fig. P13.196
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Vector Mechanics for Engineers: Statics and Dynamics
- The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m and an un- stretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the con- stant 50-N force. Calculate the velocity v of the collar as it passes position B. Use point A as datum.arrow_forwardThe pendulum illustrated in the figure is composed of an AB 2 kg and a 5 kg disc. The pendulum is released from rest in the shown position and falls 0.3 m without undergoing any rotation until the end A reaches the hook S, which starts to provide a permanent connection. Determine the angular velocity of the pendulum after turning 90 °. Treat the weight of the pendulum during impact as a non-impulsive force.arrow_forwardThe collar of mass m is released from rest while in position A and subsequently travels with negligible friction along the vertical-plane circular guide. Determine the magnitude of the normal force exerted by the guide on the collar (a) just before the collar passes point B, (b) just after the collar passes point B (i.e., the collar is now on the curved portion of the guide), (c) as the collar passes point C, and (d) just before the collar passes point D. Use the values m = 0.5 kg, R = 1.0 m, and k = 290 N/m. The unstretched length of the spring is 0.70R.arrow_forward
- The 1400 kg car is starting from rest with a constant acceleration, and after 20 s reaches a speed of 40 km/h. The front wheels are free to roll. Neglect the mass of the wheels and calculate: 1. The normal reactions at each of the four wheels on the road 2. The friction force under the rear driving wheels B.arrow_forward(a) Two blocks are joined by an inextensible cable as shown in Figure. If the system is released from rest, determine the velocity of block A after it has moved 2 m by using the data given. Assume that the coefficient of kinetic friction between block A and the plane is ?k = 0.25 and that the pulley is weightless and frictionless.arrow_forwardSame situation as before. This time it s a block of mass 1.21 kg sliding with a constant velocity of 3.27 m/s to the north, which collides 100% elastically with a second, stationary block, of mass 4.57 kg, head-on, and rebounds back to the south, eventually colliding 100% elastically with a wall and rebounding northward. It then overtakes the second block, which is still moving north as a result of the first collision. What will be the speeds of the 1.21-kg and 4.57-kg blocks, respectively, after their SECOND collision with one another? 2.53 m/s and 1.62 m/s 4.22 m/s and 5.39 m/s 1.73 m/s and 0.36 m/s 2.40 m/s and 2.88 m/sarrow_forward
- A ball of mass (m) is connected by a light string of length (L) to a frictionless pivot point P and swings as a pendulum as shown in Fig. (1). The ball is released from rest at point A when the string makes an angle of e with vertical. Determine; 1) The velocity of the ball as it passes through point B. 2) The tension TA in the string at A. 3) The tension Te in the string at B.arrow_forwardThe straight tube slide in an in-door playground has a 30o angle with the ground as shown. The 30 kg kid slides down the slide from rest. Determine the speed of the kid when they just reach the bottom of the slide at B using the method of Work and Energy or Conservation of Energy. Assume the coefficient of kinetic friction between the slide and the kid is 0.2.arrow_forwardBlock A weighing 25 N collides with block B, which is at rest, with a speed of 30 m/sec. Block B weighs 10 N. Assuming perfectly elastic collision find the velocity of block B after impact.arrow_forward
- Two identical 16-kg spheres are attached to the light rigid rod, which rotates in the horizontal plane centered at pin Part A: If the spheres are subjected to tangential forces of P = 10 N, and the rod is subjected to a couple moment M=(8t)N⋅mM=(8t)N⋅m, where t is in seconds, determine the speed of the spheres at the instant t = 4 s. The system starts from rest. Neglect the size of the spheres. Express your answer to three significant figures and include the appropriate units.arrow_forwardA block A of 60.0 lb is connected to a block B of 10.0 lb by means of a rope and an ideal pulley. The system is released from rest. Between block A and the surface, there is a coefficient of kinetic friction of 0.10. Block A has descended 5.00 ft. At this moment, determine: a. The displacement of block B.b. The magnitude of the tension in the rope.c. The speed of block B.d. The speed of block A.arrow_forwardThe 0.31-kg mass slides on a frictionless wire that lies in the vertical plane. The spring attached to the mass has a free length of 80 mm and stiffness of 0.13 N/mm. Calculate the smallest value of the distance b so that the mass will reach the end of the wire at B after being released from rest at A.arrow_forward
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