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In this pulley system, block A is moving downward with a speed of 4 ft/s while block C is moving up at 2 ft/s. Find the speed of block B.
Given v(a)=650 km/h and v(b)=800 km/h, find v(b/a). Two airplanes are traveling towards each other, traveling at 650 km/h and 800 km/h.
The platform is rotating about the vertical axis such that at any instant its angular position is theta=4(t^(3/2)) rad, where t is in seconds. A ball rolls outward along the radial groove so that its position is r=.1(t^3) m, where t is in seconds. Determine the magnitude of the velocity and acceleration of the ball when t=1.5 s.
A particle moves along a circular path of radius 300 mm. If its angular velocity is theta dot=3(t^2) rad/s, where t is in seconds, determine the magnitude of the particle's velocity when theta=45 degrees. The particle starts from rest when theta=0 degrees. Determine the magnitude of the particle's acceleration.
The driver of the car maintains a constant speed of 22 m/s. Determine the angular velocity of the camera tracking the car when theta=15 degrees.
The casting has a mass of 3 Mg. Suspended in a vertical position and initially at rest, it is given an upward speed of 200 mm/s in .3 s using the crane hook H. Determine the tension in cables AC and AB during this time interval if the acceleration is constant.
The crate has a mass of 80 kg and is being towed by a chain which is always directed 20 degrees from the horizontal as shown. Determine the crate's acceleration in t=2 s if the coefficient of static friction is .4, the coefficient of kinetic friction is .3 and the towing force is P=90(t^2) N, where t is in seconds.
If a horizontal force of P=10 lb is applied to block A, determine the acceleration of block B. Neglect friction. Hint: show that a(B)=a(A)tan(15).
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