PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 12, Problem 203P
Determine the time needed for the load at B to attain a speed of 10 m/s, starting from rest, if the cable is drawn into the motor with an acceleration of 3 m/s2.
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6/86 The connecting rod AB of a certain internal-combustion engine weighs 1.2 lb with mass center at G
and has a radius of gyration about G of 1.12 in. The piston and piston pin A together weigh 1.80 lb. The
engine is running at a constant speed of 3000 rev/min, so that the angular velocity of the crank is
3000(2)/60 = 100л rad/sec. Neglect the weights of the components and the force exerted by the gas in
the cylinder compared with the dynamic forces generated and calculate the magnitude of the force on the
piston pin A for the crank angle 0 = 90°. (Suggestion: Use the alternative moment relation, Eq. 6/3, with B
as the moment center.)
Answer
A = 347 lb
3"
1.3"
B
1.7"
PROBLEM 6/86
6/85 In a study of head injury against the instrument panel of a car during sudden or crash stops where
lap belts without shoulder straps or airbags are used, the segmented human model shown in the figure is
analyzed. The hip joint O is assumed to remain fixed relative to the car, and the torso above the hip is
treated as a rigid body of mass m freely pivoted at O. The center of mass of the torso is at G with the initial
position of OG taken as vertical. The radius of gyration of the torso about O is ko. If the car is brought to a
sudden stop with a constant deceleration a, determine the speed v relative to the car with which the
model's head strikes the instrument panel. Substitute the values m = 50 kg, 7 = 450 mm, r = 800 mm, ko
= 550 mm, 0 = 45°, and a = 10g and compute v.
Answer
v = 11.73 m/s
PROBLEM 6/85
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Chapter 12 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 12 - Initially, the car travels along a straight road...Ch. 12 - A ball is thrown vertically upward with a speed of...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - The position of the particle is given by s = (2t2 ...Ch. 12 - A particle travels along a straight line with an...Ch. 12 - A particle moves along a straight line such that...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - Starting from rest, a particle moving in a...Ch. 12 - If a particle has an initial velocity of v0 = 12...
Ch. 12 - A particle travels along a straight line with a...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - Prob. 5PCh. 12 - A particle is moving along a straight line such...Ch. 12 - A particle moves along a straight line with an...Ch. 12 - A particle travels along a straight-line path such...Ch. 12 - Tests reveal that a normal driver takes about 0.75...Ch. 12 - A particle is moving with a velocity of v0 when s...Ch. 12 - A particle is moving along a straight line with an...Ch. 12 - Car B is traveling a distanced ahead of car A....Ch. 12 - The velocity of a particle traveling along a...Ch. 12 - A freight train travels at v = 60(1 et) ft/s,...Ch. 12 - A particle is moving along a straight line such...Ch. 12 - If the effects of atmospheric resistance are...Ch. 12 - When a particle falls through the air, its initial...Ch. 12 - A sphere is fired downwards into a medium with an...Ch. 12 - Prob. 33PCh. 12 - Prob. 34PCh. 12 - A freight train starts from rest and travels with...Ch. 12 - Prob. 36PCh. 12 - Prob. 37PCh. 12 - Prob. 38PCh. 12 - Prob. 39PCh. 12 - An airplane starts from rest, travels 5000 ft down...Ch. 12 - The elevator starts from rest at the first floor...Ch. 12 - The motion of a jet plane just after landing on a...Ch. 12 - Prob. 44PCh. 12 - The vt graph for a particle moving through an...Ch. 12 - The a-s graph for a rocket moving along a straight...Ch. 12 - The jet car is originally traveling at a velocity...Ch. 12 - The v-t graph for a train has been experimentally...Ch. 12 - A motorcycle starts from rest at s = 0 and travels...Ch. 12 - A motorcycle starts from rest at s = 0 and travels...Ch. 12 - The v-t graph for the motion of a car as it moves...Ch. 12 - An airplane lands on the straight runway,...Ch. 12 - Starting from rest at s = 0, a boat travels in a...Ch. 12 - Starting from rest at s = 0, a boat travels in a...Ch. 12 - The speed of a train during the first minute has...Ch. 12 - A man riding upward in a freight elevator...Ch. 12 - Two cars start from rest side by side and travel...Ch. 12 - If the position of a particle is defined as s =...Ch. 12 - The jet plane starts from rest at s = 0 and is...Ch. 12 - Prob. 67PCh. 12 - Prob. 15FPCh. 12 - Prob. 16FPCh. 12 - A particle is constrained to travel along the...Ch. 12 - Prob. 18FPCh. 12 - A particle is traveling along the parabolic path y...Ch. 12 - Prob. 20FPCh. 12 - The ball is kicked from point A with the initial...Ch. 12 - The ball is kicked from point A with the initial...Ch. 12 - Prob. 23FPCh. 12 - Prob. 24FPCh. 12 - A ball is thrown from A. If it is required to...Ch. 12 - Prob. 26FPCh. 12 - If the velocity of a particle is defined as v(t) =...Ch. 12 - The velocity of a particle is v= {3i + (6 2t)j}...Ch. 12 - A particle, originally at rest and located at...Ch. 12 - The velocity of a particle is given by v ={16t2 i...Ch. 12 - The water sprinkler, positioned at the base of a...Ch. 12 - Prob. 74PCh. 12 - Prob. 75PCh. 12 - A particle travels along the curve from A to B in...Ch. 12 - The position of a crate sliding down a ramp is...Ch. 12 - A rocket is fired from rest at x = 0 and travels...Ch. 12 - The particle travels along the path defined by the...Ch. 12 - The motorcycle travels with constant speed v0...Ch. 12 - A particle travels along the curve from A to B in...Ch. 12 - The roller coaster car travels down the helical...Ch. 12 - Pegs A and B are restricted to move in the...Ch. 12 - The van travels over the hill described by y =...Ch. 12 - The flight path of the helicopter as it takes off...Ch. 12 - Determine the minimum initial velocity v0 and the...Ch. 12 - The catapult is used to launch a ball such that it...Ch. 12 - Neglecting the size of the ball, determine the...Ch. 12 - The girl at A can throw a ball at vA = 10 m/s....Ch. 12 - Show that the girl at A can throw the ball to the...Ch. 12 - The ball at A is kicked with a speed vA, = 80ft/s...Ch. 12 - The ball at A is kicked such that A = 30. If it...Ch. 12 - A golf ball is struck with a velocity of 80 ft/s...Ch. 12 - A golf ball is struck with a velocity of 80 ft/s...Ch. 12 - The basketball passed through the hoop even...Ch. 12 - It is observed that the skier leaves the ramp A at...Ch. 12 - It is observed that the skier leaves the ramp A at...Ch. 12 - Determine the horizontal velocity vA of a tennis...Ch. 12 - The missile at A takes off from rest and rises...Ch. 12 - The projectile is launched with a velocity v0....Ch. 12 - Prob. 101PCh. 12 - Prob. 102PCh. 12 - If the dart is thrown with a speed of 10 m/s,...Ch. 12 - Prob. 104PCh. 12 - Prob. 105PCh. 12 - Prob. 106PCh. 12 - Prob. 107PCh. 12 - Prob. 108PCh. 12 - The catapult is used to launch a ball such that it...Ch. 12 - Prob. 27FPCh. 12 - Prob. 28FPCh. 12 - Prob. 29FPCh. 12 - Prob. 30FPCh. 12 - Prob. 31FPCh. 12 - Prob. 32FPCh. 12 - The position of a particle is defined by r = {4(t ...Ch. 12 - The automobile has a speed of 80 ft/s at point A...Ch. 12 - The satellite S travels around the earth in a...Ch. 12 - The car passes point A with a speed of 25 m/s...Ch. 12 - Prob. 122PCh. 12 - Prob. 127PCh. 12 - Prob. 128PCh. 12 - Prob. 129PCh. 12 - Prob. 130PCh. 12 - A boat is traveling along a circular path having a...Ch. 12 - Prob. 132PCh. 12 - Prob. 133PCh. 12 - Prob. 134PCh. 12 - When t = 0, the train has a speed of 8 m/s, which...Ch. 12 - The ball is ejected horizontally from the tube...Ch. 12 - The race car has an initial speed vA = 15 m/s at...Ch. 12 - Particles A and B are traveling counter-clockwise...Ch. 12 - Prob. 146PCh. 12 - Prob. 149PCh. 12 - The train passes point A with a speed of 30 m/s...Ch. 12 - The particle travels with a constant speed of 300...Ch. 12 - Prob. 152PCh. 12 - If the speed of the crate at A is 15 ft/s, which...Ch. 12 - The car has a speed of 55 ft/s. Determine the...Ch. 12 - The platform is rotating about the vertical axis...Ch. 12 - Peg P is driven by the fork link OA along the...Ch. 12 - Prob. 36FPCh. 12 - Prob. 37FPCh. 12 - Prob. 38FPCh. 12 - An airplane is flying in a straight line with a...Ch. 12 - The small washer is sliding down the cord OA. When...Ch. 12 - If a particle moves along a path such that r = (2...Ch. 12 - Prob. 162PCh. 12 - The time rate of change of acceleration is...Ch. 12 - A particle moves in the x y plane such that its...Ch. 12 - At the instant shown, the man is twirling a hose...Ch. 12 - The rod OA rotates clockwise with a constant...Ch. 12 - Determine the magnitude of the acceleration of the...Ch. 12 - The rod OA rotates counterclockwise with a...Ch. 12 - Determine the magnitude of the acceleration of the...Ch. 12 - Prob. 189PCh. 12 - Determine the velocity of block D if end A of the...Ch. 12 - Prob. 40FPCh. 12 - Prob. 41FPCh. 12 - Prob. 42FPCh. 12 - Prob. 43FPCh. 12 - Prob. 44FPCh. 12 - If the end of the cable at A is pulled down with a...Ch. 12 - The motor at C pulls in the cable with an...Ch. 12 - Determine the displacement of the log if the truck...Ch. 12 - Determine the constant speed at which the cable at...Ch. 12 - Starting from rest, the cable can be wound onto...Ch. 12 - If the end A of the cable is moving at vA = 3 m/s,...Ch. 12 - Determine the time needed for the load at B to...Ch. 12 - The cable at A is being drawn toward the motor at...Ch. 12 - Determine the speed of the block at B.Ch. 12 - The roller at A is moving with a velocity of A = 4...Ch. 12 - Prob. 213PCh. 12 - At the instant shown, the car at A is traveling at...Ch. 12 - The motor draws in the cord at B with an...Ch. 12 - If block B is moving down with a velocity vB and...Ch. 12 - Two planes, A and B, are flying at the same...Ch. 12 - Prob. 219PCh. 12 - The boat can travel with a speed of 16 km/h in...Ch. 12 - Two boats leave the pier P at the same time and...Ch. 12 - Prob. 222PCh. 12 - At the instant shown, car A has a speed of 20...Ch. 12 - Cars A and B are traveling around the circular...Ch. 12 - At the instant shown, cars A and B are traveling...Ch. 12 - Prob. 228PCh. 12 - Prob. 230PCh. 12 - Prob. 232PCh. 12 - Prob. 1RPCh. 12 - Prob. 2RPCh. 12 - Prob. 3RPCh. 12 - Prob. 4RPCh. 12 - Prob. 5RPCh. 12 - Prob. 6RPCh. 12 - Prob. 7RPCh. 12 - Prob. 8RPCh. 12 - Prob. 9RPCh. 12 - Prob. 10RPCh. 12 - Prob. 11RP
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