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400 Solutions Manual
Problem 2.305
Block
B
is released from rest at the position shown, and it has a
constant acceleration downward
a0D5:7 m=s2
. Determine the
velocity and acceleration of block
A
at the instant that
B
touches
the floor.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 401
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
402 Solutions Manual
Problem 2.306
At a given instant, an airplane is flying horizontally with speed
v0D
290 mph
and acceleration
a0D12 ft=s2
. At the same time, the airplane’s
propellers rotate at an angular speed
!D1500 rpm
while accelerating at
a rate
˛D0:3 rad=s2
. Knowing that the propeller diameter is
dD14 ft
,
determine the magnitude of the acceleration of a point on the periphery
of the propellers at the given instant.
Solution
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 403
Problem 2.307
A golfer chips the ball as shown. Treating
˛
,
ˇ
, and the initial speed
v0
as
given, find an expression for the radius of curvature of the ball’s trajectory as a
function of time and the given parameters. Hint: Use the Cartesian coordinate
system shown to determine the acceleration and the velocity of the ball. Then
reexpress these quantities, using normal-tangential components.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
404 Solutions Manual
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
Dynamics 2e 405
Problem 2.308
A carnival ride called the octopus consists of eight arms that rotate about the
´
axis with a constant angular
velocity
P
✓D6rpm
. The arms have a length
LD8
m and form an angle
with the
´
axis. Assuming that
varies with time as
.t/ D0C1sin !t
with
0D70:5ı
,
1D25:5ı
, and
!D1rad=s
, determine
the magnitude of the acceleration of the outer end of an arm when achieves its minimum value.
of McGraw-Hill, and must be surrendered upon request of McGraw-Hill. Any duplication or distribution, either in print or electronic form, without the
permission of McGraw-Hill, is prohibited.
