Unformatted text preview: Chapter I: Particle Kinematics Homework I9 Problem I.7
Given: Pin P moves within slots cut into links A and B. The horizontal position of link A is given
by x = 20 + t2 /4 whereas the vertical position of link B is given by y = 15 − t3 /6, where t is given
in seconds and with x and y given in mm.
omework Problems ME 274 Find: Determine the velocity and acceleration of P at t = 2 seconds. roblem 2/66)
thin slots cut into links A and B. The
ion of link A is given by x = 20 + t 2 / 4
tical position of link B is given by
where t is given in seconds and with x
m. Determine the velocity and and
P at t = 2 seconds. I10 Chapter I: Particle Kinematics Homework Problem I.8
Given: A pitcher throws a baseball with an inital speed of v0 at an angle of θ with the horizontal.
Find: Determine the rate of change of speed and radius of curvature of the path when:
• the ball is released by the pitcher. ework Problems blem 2/126) ME 274 • the ball reaches the maximum height of its path. baseball with an inital speed of
! with the horizontal. Determine the
peed and radius of curvature of the v0
! released by the pitcher.
ches the maximum height of its path. ec and ! = 30° in your analysis. Use the following parameters in your analysis: v0 = 100f t/sec and θ = 30◦ . I12 Chapter I: Particle Kinematics Homework Problem I.10
mework Problems Given: Block A moves to the right with a speed of vA . ME 274 Find: Determine the speed of block B. roblem 2/213) o the right with a speed of 3.6 ft/sec.
eed of block B. Use the following parameters in your analysis: vA = 3.6f t/sec. Particle Kinematics Homework Problems ME 274 Chapter I: Particle Kinematics Homework I19 Problem I/17
Given: An inextensible cable is attached to block B, is wrapped around a pulleys C
Problem I.17
and D and is attached to a fixed support at E. Block B is constrained to move
on a vertical guide, and block A is constrained to slide along a horizontal
Given: An inextensible cable is attached to block B, is wrapped around a pulleys C and D and
surface. When sB = 4 ft , block B is moving downward with a speed of 15
is attached to a ﬁxed support at E. Block B is constrained to move on a vertical guide, and block
ft/sec
A is constrained .to slide along a horizontal surface. Block B is moving downward with a constant
speed of vB . Find: Determine the speed of block A at this instant. Find: Determine the speed of block A. sA
D d
C A sB
E
B vB Use the following parameters in your analysis: d = 3f t, sB = 4f t and vB = 15f t/sec I20 Chapter I: Particle Kinematics Homework Problem I.18
Given: Particle P travels within the xy plane along a path given by y (x) = x2 /2 − 10x, where x
and y are given in feet. The ycomponent of the position for P is changing at a constant rate of y .
˙
Find: For this problem:
• determine the velocity vector of P.
• determine the acceleration vector of P.
• determine the rate of change of speed of P.
Use the following parameters in your analysis: y = 10f t/sec and x = 9f t.
˙ I22 Chapter I: Particle Kinematics Homework Problem I.20
Given: At the instant shown, the Cartesian components for the position of particle P are known
as (xP , yP ). In addition, the Cartesian form for the velocity and acceleration of P are known as P
v
and P , respectively.
a
Particle Kinematics Homework Problems ME 274 Find: For this instant: a) write down the polar unit vectors eR and eφ in terms of their Cartesian
ˆ
ˆ
Problem I/20
¨
˙˙¨
components, and b) determine numerical values for R, R, φ, R and φ . ˆ
eR
P yP
! ˆ
e! R xP
Use the following parameters in your analysis: xP = 15m, yP = 20m, P = −10ˆ + 20ˆ m/sec
v
i
j
and P = −8ˆ m/sec2 .
a
j ...
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