Unformatted text preview: the value of h2 /h1 . v=0
v=0
h1 h2 v = v2 v = v1 Use the following parameters in your analysis: ∆t = 0.002sec, m = 15kg , v1 = 80m/sec and
Use the
v2 = 50m/sec. following parameters in your analysis: ! t = 0.001 s , m = 10 kg , v1 = 60 meters / sec and v2 = 45 meters / sec . Particle K inetics Homework Problems ME 274 Chapter IV: Particle Kinetics Homework IV17 Problem IV15
A particle of mass m is projected horizontally to the right at a height h above a smooth,
Problem IV.15
horizontal floor with a speed of v0. The particle strikes the floor at a horizontal distance d
from where it was is projected horizontally to the right restitution h above a smooth,
Given: A particle of mass m initially projected. The coefficient of at a heightof the impact of the
particle with the floor is The particle strikes the ﬂoor at a horizontal distance d from
horizontal ﬂoor with a speed of v0 . e.
where it was initially projected. The coeﬃcient of restitution of the impact of the particle with the
a) Determine the angle !1 that the velocity of the particle has with the horizontal
ﬂoor is e. before impact. Use conservation of energy prior to impact. Find: For thisbproblem: a) determine thethat the 1 that the velocity of the particle has with the
) Determine the angle !2 angle θvelocity of the particle has with the horizontal
horizontal immediately before impact,impact. determine the angle θ2 that the mentum of the particle
immediately after and b) Use conservation of linear mo velocity in the horizontal
has with the horizontal immediately after impact.
direction along with the coefficient of restitution equation during impact. v0 v2 h !2 d
BEFORE impact !1
v1
immediately AFTER impact Use the following parameters in your analysis: = f t , h v125 ft a t/sec
Use the following parameters in your analysis: e = 0.5, h =e1500.6 and = 0 = 160fnd v0. = 150 ft / sec . A satellite P of mass m is in orbit around a planet whose center is at E. At position 1
shown below, the satellite is at a distance R1 from E and moving with a speed of v1. At
position 2 shown, P is at a distance of R2 from E and moving with a speed of v2 with the
Chapter IV: Particle Kinetics Homework
velocity of P oriented as shown below. Assume that the only force acting on the satellite
is a gravitational force directed toward E, and that the planet is not accelerating. IV19 Problem IV.17 a) Determine the angular momentum of P about E at positions 1 and 2. Given: A satellite P of mass m is in orbit aroundthe planet whose center about E. is position 1
b) Provide an argument to support the claim that a angular momentum is at E At
shown onstant.the satellite is at a distance R1 from E and moving with a speed of v1 . At position
c below,
2 shown, P is at a distance of R2 from E and moving with a speed of v2 with the velocity of P
c) Based on b) below. Assume that speed of P at acting on v2 in terms of gravitational force
oriented as shown above, determine the the only force position 2,the, satellite is aR1, R2,
directedatoward E, and that the planet is stationary.
!2 nd...
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 Spring '09

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