Unformatted text preview: gure. After impacting each other, A is traveling to the RIGHT with a speed of vA2 , and B travels
) draw FBD’swith A speed of vB 2 (direction of Imotion a set of coordinate is not known). Consider all surfaces to
for a alone, B alone and A+B. nclude for B after impact
axes with thesesmooth.
be FBD’s. ) determine the mass M of block B. Find: For this problem: a) determine the mass M of block B, and b) determine the coeﬃcient of ) determine the coefficient, of restitution, e,of A the impact of A and B.
restitution, e for the impact for and B
write down the linear momentum vector
ns for A, B and A+B in terms of their
and tangential components, as well as
ficient of restitution equation. Use these
ns to find M and e. B A vA1
m g parameters in your analysis: m = 3kg ,
eters / sec , vA 2 = 2 meters / sec
rs / sec . M vB1
HORIZONTAL PLANE Use the following parameters in your analysis: m = 3kg , vA1 = 4m/sec, vB 1 = 4m/sec, vA2 =
2m/sec and vB 2 = 5m/sec. Particle K inetics Homework Problems ME 274 Chapter IV: Particle Kinetics Homework IV51 Problem IV49
Given: Particle P, having a mass of m, is pressed against a spring (having a stiffness
o P, having a spring m, is pressed against a spring of ! . a sti release k) with
Given: Particle f k) with the mass ofbeing compressed by an amount(havingUponﬀness of from
est, the particle travels along a . Upon release from rest, the particle travels along
the spring beingrcompressed by an amount of ∆ rough horizontal surface for which the kinetic
coefficient of which the kinetic coeﬃµK.
a rough horizontal surface for friction is known to be cient of friction is known to be µk .
Problem IV.49 F Determine etermine the total distance d traveled by P before coming to rest. Assumed > ∆.
D the total distance d traveled by P before coming to rest. Assume that
Find: ind:
Leave your answer in symbolic form. answer in symbolic form.
that d > !. Leave your
P
rough, µK !
P d Problem IV50
Given: A smooth, circular slot is cut into block A with block A being constrained to
move along a smooth, horizontal surface. The slot is vertical at the top surface
of the block with the slot being horizontal at IV: Particle Kinetics Homework
IV52
Chapter the right edge of the block, as
shown in the figures below. In Position 1, block A is stationary, and a particle
B is released from rest into the upper opening of the slot. At Position 2 shown
Problem IV.50
below, particle B is exiting the slot at the right edge of the block. The masses
of A and B are M = 40 kg and m = 20 kg, respectively. The radius of the
Given: A smooth, circular slot is is given by r = 2 meters.
circular slot cut into block A with block A being constrained to move along
a smooth, horizontal surface. The slot is vertical at the top surface of the block with the slot being
horizontal at the right edge of the block, as shown in the ﬁgures below. In Position 1, block A is
Find
Determine the velocity of block the upper elocity of the slot. at Position 2
stationary, and :a particle B is released from rest into A and the vopeningof p...
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