chap_IV_hwk_sp_2011

# 2 nd v1 d explain why your result in c does not depend

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Unformatted text preview: v1. d) Explain why your result in c) does not depend on the gravitational force acting on Find: For this problem: a) determine the speed of P at position 2, v2 , in terms of R1 , R2 , θ2 and v1 , the satellite. and b) provide an argument explaining why your result in a) does not depend on the gravitational force acting on the satellite. e! eR !2 v2 e! P R2 E R1 v1 P eR Chapter IV: Particle Kinetics Homework IV-21 Problem IV.19 ics Homework Problems ME 274 Given: Rigid arm OA (having length L and having negligible mass) is pinned to ground at end O. A particle of mass M is attached to end A of OA. At instant ”1”, a pellet P (having a mass of m) strikes the stationary particle A with a speed of vP 1 in the direction shown below in the ﬁgure. At the end of a short time interval impact, P sticks to A. IV-19 OA (having length L and having negligible mass) is pinned to ground at end O. of mass M is attachedDetermineof OA. At instant “1” arm OAP (having a mass P sticks to A. Find: to end A the angular speed of a pellet immediately after es the stationary particle A with a speed of vP1 in the direction shown below in At the end of a short time interval ticks to A. w a free body diagram (FBD) of the tem made up of particles A and P during act. Recall that P and A are particles ., the physical dimensions of these two ies are negligible). Based on your FBD, vide argument that supports the claim t the angular momentum for system AP bout O is conserved during impact. termine the angular speed of arm OA immediately after P sticks to A. nsider using the angular momentum ation. O g L vP1 A ! M mP VERTICAL PLANE Use the following parameters in your analysis: φ = 30◦ , L = 4f t, mg = 4lb, M g = 8lb and vP 1 in your analysis: ! = 36.87° , L = 5 ft , mg = 2 lb , llowing parameters= 150f t/sec. and vP1 = 120 ft / s . Problem IV-20 Particles A and B each have a mass of m. A is constrained to move on a horizontal arm OC, and B is constrained to move on the vertical shaft about which arm OC rotates. A taut cable connects A and B as shown in the figure below. At an insIV: Particle Kinetics Homework IV-22 Chapter tant when the shaft is rotating with a rate of ! = !1 and when R = R1 , A and B are released from rest relative to the rotating arm and shaft. Consider all surfaces to be smooth, assume the masses of the Problem IV.20 arm, shaft and pulley to be negligible, and assume the radius of the pulley to be small. Given: Particles A and B each have a mass of m. A is constrained to move on a horizontal arm OC, and B is constrained to move on the vertical shaft about which arm OC rotates. A taut cable connects A and the angular speed of the arm ! 2 . At an instant when angular is rotating with a a) determine B as shown in the ﬁgure below. Consider using the the shaft rate of omentum equation. R1 , A and B are released from rest relative to the rotating arm and mω = ω1 when R = shaft. Consider all surfaces to be smooth, assume the masses of the arm, shaft and pulley to be b) determine the speed radius of the pulley the work-energy equation along with negligible, and assume the of B....
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## This document was uploaded on 01/20/2014.

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