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A small rubber ball of radius r is thrown against a rough floor with a velocity
Fig. P17.131
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- A bowler projects an 8-in.-diameter ball weighing 12 lb along an alley with a forward velocity v0 of 15 ft/s and a backspin ω0 of 9 rad/s. Knowing that the coefficient of kinetic friction between the ball and the alley is 0.10, determine (a) the time t1 at which the ball will start rolling without sliding, (b) the speed of the ball at time t1, (c) the distance the ball will have traveled at time t1arrow_forwardPlease 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.arrow_forwardA 1.6-kg tube AB can slide freely on rod DE which in turn can rotate freely in a horizontal plane. Initially the assembly is rotating with an angular velocity of magnitude w = 5 rad/s and the tube is held in position by a cord. The moment of inertia of the rod and bracket about the vertical axis of rotation is 0.30 kg.m2 and the centroidal moment of inertia of the tube about a vertical axis is 0.0025 kg.m2If the cord suddenly breaks, determine (a) the angular velocity of the assembly after the tube has moved to end E, (b) the energy lost during the plastic impact at E.arrow_forward
- PROBLEM 3 - In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction u = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude ofP= 251.432 N at an angle 0 = 30.11° 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. Use g== 9.81 m/s? = 32.2 ft/s? P W, - 150 N B C A WA = 106. 54 N %3Darrow_forward17.81 A 1.8-kg collar A and a 0.7-kg collar B can slide without friction on a frame, consisting of the horizontal rod OE and the vertical rod CD, which is free to rotate about its vertical axis of symmetry. The two collars are connected by a cord running over a pulley that is attached to the frame at O. At the instant shown, the velocity v of collar A has a magnitude of 2.1 m/s and a stop prevents collar B from moving. The stop is suddenly re- moved and collar A moves toward E. As it reaches a distance of 0.12 m from O, the magnitude of its velocity is observed to be 2.5 m/s. Determine at that instant the magnitude of the angular velocity of the frame and the moment of inertia of the frame and pulley system about CD. Fig. P17.81 01marrow_forwardTwo identical giant flywheels are on 2 identical slopes at an angle alpha = 20 deg. One flywheel is rolling on its inside shaft of diameter d1 = 3 ft, and the second flywheel is rolling without slipping on its outside diameter d2 = 5 ft. They are both released from rest. The weight of the flywheel is W = 8 lbs Knowing that flywheel 1 attains a speed of v = 7.0 ft/s in t = [t] s, (if t doesn't show take any t between 5 and 10 sec) find the radius of gyration of the flywheels, following those steps: b. Find omega final c. Find the angular impulse at the point of contact between the shaft and the slope. d. Write the formula to find the final momentum. e. Solve for k, using the principle of angular impulse and momentumarrow_forward
- A large 3-lb sphere with a radius r = 3 in. is thrown into a light basket at the end of a thin, uniform rod weighing 2 lb and length L= 10 in. as shown. Immediately before the impact, the angular velocity of the rod is 3 rad/s counterclockwise and the velocity of the sphere is 2 ft/s down. Assume the sphere sticks in the basket. Determine after the impact (a) the angular velocity of the bar and sphere, (b) the components of the reactions at A.arrow_forwardQ3. The double pulley shown in Fig Q3 has a mass of 14 kg and a centroidal radius of gyration of 165 mm. A and B are attached to cords that are wrapped around the pulley. µk = 0.25 between B and the surface. A friction moment exists in the axle of the pulley of 0.8 Nm. Knowing the system is released from rest, at the position shown, Using hand Calculations to determine, a) The velocity of A as it strikes the ground b) The total distance covered by B before it comes to rest. Using MATLAB to plot the variation of the velocity with the work done by the system. 250 mm 150 mm Not to scale m, = 9 kg B A m, = 11.5 kg 900 mm Fig. Q3arrow_forwardIn 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 = 303.887 N at an angle θ = 35.38° as shown. Knowing that the assembly is initially at rest, what is the time when the velocity reaches to 3 m/s? what is the velocity of collar ? after 3 seconds? Also, at this instant, find the tension in the cord and the velocity of block A.arrow_forward
- Show the complete solution. Put notes on steps. In the system shown, a 150 N collar-pulley assembly slides on a horizontal shaft with coefficient of kinetic friction pk = 0.10 between the collar and the shaft, and is acted upon by a force P with a magnitude of P = 261.65 N at an angle e = 31.16° as shown. Knowing that the assembly is initially at rest, what is the velocity after 3s? Also, at this instant, find the tension in the cord and the velocity of block A.arrow_forwardThe mechanism shown is one of two identical mechanisms attached to the two sides of a 200-lb uniform rectangular door. Edge ABC of the door is guided by wheels of negligible mass that roll in horizontal and vertical tracks. A spring with a constant k is attached to wheel B in such a way that its tension is zero when 0 = 30°, Knowing that the door is released from rest in the position 0 = 45° and reaches the vertical position with an angular velocity of 0.6 rad/s, determine the spring constant k.arrow_forwardRequired information A uniform thin bar AB of length L = 5.5 ft is released from rest at an angle 0 = 0₁. As the bar slides, the ends A and B maintain contact with the surfaces on which they slide. A L B Neglecting friction and knowing that the end A has a speed of 18 ft/s right before hitting the floor, determine 0₁. The value of 0₁ isarrow_forward
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