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 IV21 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. IV19
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 IV20
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
IV22
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 workenergy equation along with
negligible, and assume the of B....
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 Spring '09

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