TutorialLinearMomentumAngularMomentum.pptVIP

Tutorial 12 Linear Momentum Angular Momentum Zhengjian, XU Nov 26th, 2008 Conservation of Linear momentum Central impact Question 16.76 Two small balls, each of mass m = 0.12 kg, hang from strings of length L = 1 m. The left ball is released from rest with θ = 30o. As a result of the initial collision, the right ball swings through a maximum angle of 25o. Determine the coefficient of restitution. Question 16.76 Augular Momentum Principle of Angular Impulse and momentum Central-Force Motion If F goes through the center: Question 16.87/16.88 A satellite is in the elliptic earth orbit shown. Its velocity at perigee A is 8640 m/s. The radius of the earth is 6370 km. (a) Use conservation of angular momentum to determine the magnitude of the satellite’s velocity at apogee C. (b) Use conservation of energy to determine the magnitude of the velocity at C. (c) To determine the magnitudes of the radial velocity vr and transverse velocity vθ. at B. (c) To determine the magnitudes of the radial velocity vr and transverse velocity vθ. at B. Question 16.95 Two gravity research satellites (mA = 250 kg, mB = 50 kg) are tethered by a cable. The satellite and cable rotate with angular velocity ,ω0 = 0.25 revolution per minute. Ground controllers order satellite A to slowly unreel 6 m of additional cable. What is the angular velocity afterward? Solution Solution After the string isunreeled to 18m Mass flows Use the conservation of momentum Question 104 A nozzle ejects a stream of water horizontally at 40 m/s with a mass flow rate of 30 kg/s, and the stream is deflected in the horizontal plane by a plate. Assume that the magnitude of the velocity of the water when it leaves the plate is approximately equal to the initial velocity. Determine the force exerted on the plate by the stream in cases (a), (b), and (c). The average force in ?t: Solution for Question 16.104 Question 16.110/16.111 The rocket consists of a 1000-kg payload and a 9000-kg booster. Eighty percent of the booster’