Problems from Engineering Mechanics: Statics and Dynamics by R.C. Hibbeler 15-2. The car has a center of mass at G and rests on a horizontal surface for which the coefficient of friction is μ=0.2 between the back wheels and the surface. Determine the minimum distance in which it can reach a speed of 60 mph without slipping on the surface. During the motion the front wheels are assumed to move freely. Neglect the weight of the wheels. 15-3A uniform 250-lb crate rests on an inclined surface for which the coefficient of friction is μ=0.2. If a force of 400 lb is applied is applied to the crate as shown, does the crate tip? If not, compute the acceleration of the crate and the normal force which the surface exerts on the crate. Assume the crate is initially at rest.
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Problems from Engineering Mechanics: Statics and Dynamics by R.C. Hibbeler
15-2. The car has a center of mass at G and rests on a horizontal surface for which the coefficient of friction is μ=0.2 between the back wheels and the surface. Determine the minimum distance in which it can reach a speed of 60 mph without slipping on the surface. During the motion the front wheels are assumed to move freely. Neglect the weight of the wheels.
15-3A uniform 250-lb crate rests on an inclined surface for which the coefficient of friction is μ=0.2. If a force of 400 lb is applied is applied to the crate as shown, does the crate tip? If not, compute the acceleration of the crate and the normal force which the surface exerts on the crate. Assume the crate is initially at rest.
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15-16. The rocket at the right weighs 800 lb and has a center of mass at G. It is supported on the monorail track at points A and B by rollers (i.e., normal forces only). If the engine provides a constant thrust T of 2,000 lb, determine the distance the rocket travels in 20 sec, starting from rest.
15-16. The box frame BDEG weighs 20 lb and carries a uniform 10-lb crate. Neglect the weight of the parallel supporting rods AB and CD. The coefficient of friction between the crate and the frame is sufficient to prevent slipping. What is the acceleration of the frame and the crate immediately after the rope HI is cut? Determine the normal force that the crate exerts on the frame at this instant.
Example 15.6 The center of the double gear has a velocity of 1.2 m/sec and an acceleration of 3 m/sec2, both to the right. The lower gear rack is stationary. Determine the angular acceleration of the gear and the linear accelerations of point B, C, and D on the gear.
Example 15.7 Crank AB of the engine system has a constant clockwise angular velocity of 2000 RPM. For the crank position shown, determine the angular acceleration of the connecting rod BD and the acceleration of the piston D. Note that you will need to find the angle β and the angular velocity of the connecting rod ωBD before attempting the acceleration problem. Example 15.8 Crank AB of the engine system has a constant clockwise angular velocity of 20 rad/sec counter-clockwise. For the positions shown, determine the angular velocities and angular accelerations of the connecting rod BD and the crank DE.
P.15.107 and 15.108 Bar AB of the system below rotates with a constant angular velocity of 3 rad/sec clockwise. For the positions shown, determine the angular velocities and angular accelerations of the the links CD and BD and the linear acceleration of points D and E.
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