Unlock document.
This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
PROBLEM 11.181*
Determine the direction of the binormal of the path described by the particle of Problem 11.96 when
(a) 0,t (b) /2 s.t
xy z
PROBLEM 11.181* (Continued)
33
xyz
PROBLEM 11.182
The motion of a particle is defined by the relation 32
215 244,xt t t
where x and t are expressed in
meters and seconds, respectively. Determine (a) when the velocity is zero, (b) the position and the total
distance traveled when the acceleration is zero.
SOLUTION
PROBLEM 11.183
A drag car starts from rest and starts down the racetrack with and acceleration defined by a = 50 – 10 t ,
where a and t are in m/s2 and s, respectively. After reaching a speed of 125 m/s, a parachute is deployed to
help slow down the dragster. Knowing that this deceleration is defined by the relationship a= - 0.02v2, where
v is the velocity in m/s, determine (a) the total time from the beginning of the race until the car slows back
down to 10 m/s, (b) the total distance the car travels during this time.
SOLUTION
PROBLEM 11.183 (Continued)
PROBLEM 11.184
A particle moves in a straight line with the acceleration
shown in the figure. Knowing that the particle starts from the
origin with 02v
m/s, (a) construct the vt and
x
t
curves for 018t
s, (b) determine the position and the
velocity of the particle and the total distance traveled when
18t
s.
SOLUTION
Compute areas under at
curve.
PROBLEM 11.185
The velocities of commuter trains
A and B are as shown. Knowing
that the speed of each train is
constant and that B reaches the
crossing 10 min after A passed
through the same crossing,
determine (a) the relative velocity
of B with respect to A, (b) the
distance between the fronts of the
engines 3 min after A passed
through the crossing.
SOLUTION
/
BA
PROBLEM 11.186
Knowing that slider block A starts from rest and moves to the left with a
constant acceleration of 1 ft/s2, determine (a) the relative acceleration of
block A with respect to block B, (b) the velocity of block B after 2 s.
SOLUTION
b
PROBLEM 11.187
Collar A starts from rest at
0t
and moves downward with a constant
acceleration of
2
7 in./s .
Collar B moves upward with a constant acceleration,
and its initial velocity is 8 in./s. Knowing that collar B moves through 20 in.
between
0t
and 2 s,t determine (a) the accelerations of collar B and
block C, (b) the time at which the velocity of block C is zero, (c) the distance
through which block C will have moved at that time.
SOLUTION
C
C
PROBLEM 11.187 (Continued)
PROBLEM 11.188
A golfer hits a ball with an initial velocity of
magnitude 0
v at an angle
with the
horizontal. Knowing that the ball must clear
the tops of two trees and land as close as
possible to the flag, determine 0
v and the
distance d when the golfer uses (a) a six-iron
with 31 ,
(b) a five-iron with 27 .
SOLUTION
The horizontal and vertical motions are
00
( cos ) or cos
x
xv t v t
C
PROBLEM 11.188 (Continued)
C
PROBLEM 11.189
As the truck shown begins to back up with a constant
acceleration of
2
4 ft/s ,
the outer section B of its boom starts to
retract with a constant acceleration of
2
1.6 ft/s
relative to the
truck. Determine (a) the acceleration of section B, (b) the
velocity of section B when
2t
s.
SOLUTION
B
PROBLEM 11.190
A velodrome is a specially designed track used in
bicycle racing. If a rider starts from rest and accelerates
between points A and B according to the relationship
at = (11.46 – 0.01878 v2) m/s2, what is her acceleration
at point B?
SOLUTION
22
Btn
PROBLEM 11.191
Sand is discharged at A from a conveyor belt and falls onto the
top of a stockpile at B. Knowing that the conveyor belt forms
an angle 25
with the horizontal, determine (a) the speed
v0 of the belt, (b) the radius of curvature of the trajectory
described by the sand at Point B.
SOLUTION
41.36 ft/s
x
v
PROBLEM 11.191 (Continued)
16.57
n
a
