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Unformatted text preview: article B At position 2.
shown below, particle B is exiting the slot at the right edge of the block. The masses of A and B
You must provide an radius of the circular slot is r
are M and m, respectively. Theaccurate free body diagram of .the system used in your solution in order to receive full credit for your work. Consider using both the linear impulsemomentum and work- block equations in solving particle B at
Find: Determine the velocity ofenergyA and the velocity of this problem. position 2. m VA2 B
B A M POSITION 1 A POSITION 2 Use the following parameters in your analysis: m = 20kg , M = 40kg and r = 2m. VB2 Particle K inetics Homework Problems ME 274 Problem IV-51
A particle P, having a mass of m = 10 kg, is free to slide on a smooth,
lightweight bar. The bar is free to rotate in a horizontal plane about a vertical
Problem IV.51 shaft passing through O. A spring, having a stiffness k = 400 N/m and
unstretched length R0 = 2 meters, is connected between P and O. The spring
Given: A particleis compressed to half m, its free to slide length and released when the bar has
P, having a mass of of is unstretched on a smooth, lightweight bar. The bar
is free to rotate in a rotational speed of !1 = 5 rad/sec, as shown inthrough O.below left. having a
a horizontal plane about a vertical shaft passing the figure A spring,
Chapter IV: Particle Kinetics Homework stiﬀness k and unstretched length R0 , is connected between P and O. The spring is compressed to
half of its unstretched length and released when the bar has a rotational speed of ω1 , as shown in
the ﬁgure below left. the position when R = R0 (shown in the figure below right): a) Determine the rotation rate !2 of the bar.
Find: For the position when R = R0 (shown in the ﬁgure below right): a) determine the rotation
b) Determine the value of ˙ .
rate ω2 of the bar, and b) determine the value of dt .
R P !1 R = R0/2 k !2 O
k P R = R0 O HORIZONTAL PLANE
Use the following parameters in your analysis: m = 10kg , k = 400N/m, R0 = 2m and ω1 =
5rad/sec. oblem IV-52
ven: Particle P (of mass m = 8 kg) moves within a vertical plane inside a rough,
circular slot. The coefficient of kinetic friction between particleChapter IV: Particle Kinetics Homework
P and the slot
is µk = 0.2, and the radius of the slot is r = 2 meters. At the position shown
below, the speed of P is known to be v = 3 m/sec.
Problem IV.52 d: For this position:
Given: Particle P (of mass m) moves within a vertical plane inside a rough, circular slot. The
a) coeetermine the numerical value of the normalPcontact force of the slot the radius of the slot is r.
D ﬃcient of kinetic friction between particle and the slot is µk , and
Atn P. position shown below, the speed of P is known to be v .
b) Find:in contact position: ia) determine the numerical value of the normal contact force of the slot
Is P For this with the nner or outer surface of the slot?
c) on etermine the rate of change of speed...
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This document was uploaded on 01/20/2014.
- Spring '09