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The 3-kg collar B slides on the frictionless arm AA'. The arm is attached to drum D and rotates about O in a horizontal plane at the rate
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Chapter 12 Solutions
Vector Mechanics For Engineers
- The 2-kg block B and 15-kg cylinder A are connected to a light cord that passes through a hole in the center of the smooth table. If the block is given a speed of v = 10 m/s, determine the radius r of the circular path along which it travels.arrow_forwardA satellite will travel indefinitely in a circular orbit around the earth if the normal component of its acceleration is equal to g(R/r)2, where g= 9.81 m/s2, R= radius of the earth = 6370 km, and r = distance from the center of the earth to the satellite. Assuming that the orbit of the moon is a circle with a radius of 384 × 103 km, determine the speed of the moon relative to the earth.arrow_forwardA particle of mass m is projected from point A with an initial velocity v0 perpendicular to OA and moves under a central force F along an elliptic path defined by the equation r=r0 /(2 - cos 0) Using Eq. (12.35), show that F is inversely proportional to the square of the distance r from the particle to the center of force 0.arrow_forward
- Knowing that the velocity of an experimental space probe fired from the earth has a magnitude VA = 32.5 Mm/h at point A, determine the speed of the probe as it passes through point B.arrow_forwardA 2-kg collar can slide without friction along a horizontal rod and is released from rest at A. The undeformed lengths of springs BA and CA are 250mm and 225mm, respectively, and the constant of each spring is 500kN/m. Determine the velocity of the collar when it has moved 25mm to the right.arrow_forwardThe system shown begins its motion from rest and each component moves with a constant acceleration.If the relative acceleration of block C with respect to collar B is 30 mm / s ^ 2 downwards, and the relative acceleration of block A with respect to block D is 55 mm / s ^ 2 downwards.Answers:1)The speed of block A after 5 s2)The change in the position of block B after 3 sarrow_forward
- A ball is thrown with a speed of 12 m / s directed vertically upwards from a window located 16 m above the ground. If it is assumed that friction with the air does not affect the movement of the ball and that its acceleration is that of gravity g = 9.8 m / s2 downwards. Determine:a) the velocity V and the height y of the ball above the ground as a function of time t b) the highest position the ball reaches on the ground and the corresponding value of time t c) the time in which the ball hits the ground and the corresponding velocity. d) draw the curves (v - t) and (y - t)arrow_forwardCars A and B are traveling in adjacent highway lanes and at t = 0 s have the position and velocity shown. If vA = 10.5 km/h , vB = 29 km/h , S = 831 m, and knowing that car A has a constant acceleration of 0.68 m/s2 and that B has a constant deceleration of 0.2 m/s2, determine the relative position of car B with respect to car A at the moment the velocity of car B is zero.arrow_forwardIt is observed that the time for the ball to strike the ground at B is 2.5 s. Determine the speed (in m/s) and angle (in degrees) at which the ball was thrown.arrow_forward
- A block a of 5000g is released from rest if the masses of the pulleys and ropes are disregarded determine the speed of block b of 1 Kg in 5 secondsarrow_forwardKnowing that μk = 0.30, determine the acceleration of each block when mA= 5 kg, mB= 30 kg, and mC= 15 kg.arrow_forwardA 0.5-kg block B slides without friction inside a slot cut in arm OA that rotates in a vertical plane. The rod has a constant angular acceleration 0= 10 rad/s2. Knowing that when 0= 45° and r= 0.8 m the velocity of the block is zero, determine at this instant, (a) the force exerted on the block by the arm, (b) the relative acceleration of the block with respect to the arm.arrow_forward
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