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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
PROBLEM 11.181* (Continued)
33
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.
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.
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.
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.
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.
b
Copyright © McGraw-Hill Education. Permission required for reproduction or display.
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.
PROBLEM 11.187 (Continued)
