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Unformatted text preview: Consider usingto be small. When A has moved outward to a position of R = R2 , appropriate kinematics relating the motions of A and B. Be careful – the velocity
Find:of A has two components at position 2 (one due = R2 : a) determine the angular speed of the
When A has moved outward to a position of R to the rotation of the arm and one
due to its sliding along particle B.
arm ω2 , and b) the speed of the arm). R C
O
A
g B ! Use the following parameters in your analysis: m = 15kg , R1 = 0.3m, R2 = 0.6m and ω1 = Use rad/sec.
the following parameters in your analysis: m = 10 kg , R1 = 0.2 meters ,
25
R2 = 0.5 meters and !1 = 20 rad / sec . Chapter IV: Particle Kinetics Homework IV25 Problem IV.23
Given: An arm rotates about a vertical axis passing through O at a rate of ω with this rotation
changing at a rate of ω . Block C, having a weight of W, slides within a smooth straight slot in the
˙
arm at a rate of r with this sliding motion changing at a rate of r.
˙
¨
Homework Problems 23 (3/86) ME 274 Find: At this instant: a) determine the tension force in the cord, b) the normal force of the arm
on block C, and c) determine on which side of the slot (A or B) that the block contacts the arm. s about a vertical axis passing through
! with this rotation changing at a rate
C, having a weight of W, slides within a
!
ht slot in the arm at a rate of r with this
r
n changing at a rate of !! .
mine the tension in the cord.
mine the normal force of the arm on
C.
mine on which side of the slot (A or B)
e block contacts the arm.
Use the following parameters in your analysis: W = 3lb, ω = 6rad/sec, ω = −2rad/sec2 , r =
˙
9inches, r = −2inches/sec and r = 0.
˙
¨ ing parameters in your analysis: W = 3 lb , ! = 6 rad / sec , !
r
sec 2 , r = 9 inches , r = !2 inches / sec and !! = 0 . IV26 Chapter IV: Particle Kinetics Homework Problem IV.24
Given: A constant force P acts at the free end of the cable as block A (having a weight W ) is
pulled up the smooth rod. The system starts out from rest.
Homework Problems ME 274 Find: Determine the stiﬀness k of the spring corresponding to a maximum spring compression of 24 (3/110) ∆ .
max rce P acts at the free end of the cable
aving a weight W) is pulled up the
If the system starts out from rest,
e stiffness k of the spring corresponding
m spring compression of ! max . b d Use the following parameters in your analysis: W = 30lb, P = 50lb, b = 30inches, d = 40inches wing parameters in∆max analysis: W = 30 lb , P = 50 lb , b = 30 inches ,
and your = 6inches.
s and ! max = 6 inches . Chapter IV: Particle Kinetics Homework IV27 Problem IV.25 mework Problems 5 (3/163) Given: The system shown is released from rest. Assume all surfaces to be smooth and that the
ME 274
mass of the pulleys is negligible.
Find: Determine the speed of both masses after B has moved a distance of d. wn is released from rest. Determine
h masses after B has moved a
ssume all surfaces to be smooth and
the pulleys is negligible.
! Use the following parameters in your analysis: θ = 20◦ and d...
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This document was uploaded on 01/20/2014.
 Spring '09

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