Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 18.4, Problem 14P
Determine the angular velocity of the rod when it has rotated 180° clockwise from the position shown. The force is always perpendicular to the rod.
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The telephone-cable reel rolls without
slipping on the horizontal surface. If point A
on the cable has a velocity VÀ = 0.84 m/s to
the right, compute the velocity of the center
O (positive if to the right, negative if to the
left) and the angular velocity w (positive if
counterclockwise, negative if clockwise) of
the reel.
Answers:
Vo =
W =
1.91 m
4
0.69 m
1.315
i 1.376
Ho
m/s
VA
rad/s
The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VA = 0.70 m/s to the right,
compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if
counterclockwise, negative if clockwise) of the reel.
1.72 m
A
Answers:
Vo =
W=
0.60 m
1.075
i 1.25
m/s
rad/s
The clockwise angular velocity of the AB rod of the knuckle is 0 = 50° while 20 rad/s. Thisdetermine the angular velocities (magnitude and direction) of the BC element and wheel at the moment.
Chapter 18 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 18.4 - Determine the kinetic energy of the 100-kg object.Ch. 18.4 - The 80-kg wheel has a radius of gyration about its...Ch. 18.4 - If the rod is at rest when = 0, determine its...Ch. 18.4 - Determine the angular velocity of the rod when the...Ch. 18.4 - If the wheel starts from rest and rolls Without...Ch. 18.4 - If the uniform 30-kg slender rod starts from rest...Ch. 18.4 - When it is subjected to a couple moment of M = 50...Ch. 18.4 - Show that its kinetic energy can be represented a...Ch. 18.4 - If the torsional spring attached to the wheel's...Ch. 18.4 - If the torsional spring attached to the wheel's...
Ch. 18.4 - Determine the angular velocity of the reel after...Ch. 18.4 - Determine the angular velocity of the reel after...Ch. 18.4 - Determine the angular velocity of the reel after...Ch. 18.4 - It has a weight of 50 lb and a centroidal radius...Ch. 18.4 - It has a weight of 50 lb and a centro1dal radius...Ch. 18.4 - If it starts from rest, determine its angular...Ch. 18.4 - If the 10-kg block is released from rest,...Ch. 18.4 - Determine the angular velocity of the 20-kg wheel...Ch. 18.4 - Initially, the system is at rest. The reel has a...Ch. 18.4 - The force is always perpendicular to the rod.Ch. 18.4 - Determine the angular velocity of the rod when it...Ch. 18.4 - If it is released from rest in the position shown,...Ch. 18.4 - If the elevator has a mass of 900 kg, the...Ch. 18.4 - If the ring rolls without slipping, determine its...Ch. 18.4 - A motor supplies a torque M = (40 + 900) Nm ,...Ch. 18.4 - When empty it has a mass of 800 kg and a radius of...Ch. 18.4 - If P = 200 N and the 15-kg uniform slender rod...Ch. 18.4 - If it is released from rest, determine how far it...Ch. 18.4 - The windlass A can be considered as a 30-lb...Ch. 18.4 - If the conveyor belt is moving with a speed of Vc...Ch. 18.4 - A couple moment of M = 80 Nm is then applied to...Ch. 18.4 - A couple moment M = 80 Nm is then applied to the...Ch. 18.4 - If the plate is released from rest at = 90,...Ch. 18.4 - If the ring gear C is fixed, determine the angular...Ch. 18.4 - If the rod is released from rest when the spring...Ch. 18.4 - Determine the speed of the sptere's center of mass...Ch. 18.4 - Motor M exerts a constant force of P = 750 Non the...Ch. 18.4 - When = 0, rod AB is rotating with an angular...Ch. 18.4 - If rod CD is subjected to a couple moment M = 30...Ch. 18.4 - The gears roll within the fixed ring gear C, which...Ch. 18.4 - When = 0, rod AB is rotating with an angular...Ch. 18.4 - When = 0, rod AB is rotating with an angular...Ch. 18.5 - If the 30-kg disk is released from rest when = 0...Ch. 18.5 - If it is released from rest, determine its angular...Ch. 18.5 - Determine its angular velocity when = 45.The...Ch. 18.5 - Determine the angular velocity of the rod when =...Ch. 18.5 - Determine the angular velocity of the rod when =...Ch. 18.5 - Determine its angular velocity when = 90. The...Ch. 18.5 - If a 2-kg block is suspended from the cord,...Ch. 18.5 - Prob. 37PCh. 18.5 - If it is released from rest at A on the incline,...Ch. 18.5 - The spool has a mass of 20 kg and a radius of...Ch. 18.5 - If the 15-kg block A is released from rest,...Ch. 18.5 - If it is allowed to fall freely determine the...Ch. 18.5 - Gear A has a mass of 10kg and a radius of gyration...Ch. 18.5 - If the rod is released from rest when = 30,...Ch. 18.5 - If the rod is released from rest when = 30,...Ch. 18.5 - The 40-kg wheel has a radius of gyration about its...Ch. 18.5 - If the bars are released from rest when = 60,...Ch. 18.5 - If the bars are released from rest when = 60,...Ch. 18.5 - If it has a mass of 3 kg and a rad1us of gyration...Ch. 18.5 - Lifting is done using the two springs, each of...Ch. 18.5 - If the spring has an unstretched length of 1.5 m,...Ch. 18.5 - If the spring has an unstretched length of 1.5 m,...Ch. 18.5 - The drum has a weight of 50 lb and a radius of...Ch. 18.5 - If the track in which it moves is smooth,...Ch. 18.5 - The pulley has a weight of 50 lb and a rad1us of...Ch. 18.5 - The gear has a weight of 100 lb and a radius of...Ch. 18.5 - Determine the stiffness k of the spring so that...Ch. 18.5 - The slender 6-kg bar AB is horizontal and at rest...Ch. 18.5 - If the spring has an unstretched length of 0.2 m,...Ch. 18.5 - The 500-g rod AB rests along the smooth inner...Ch. 18.5 - The 50-lb wheel has a radius of gyration about its...Ch. 18.5 - The system consists of 60-lb and 20-lb blocks A...Ch. 18.5 - The door is made from one piece, whose ends move...Ch. 18.5 - The door is made from one piece, whose ends move...Ch. 18.5 - The end A of the garage door AB travels along the...Ch. 18.5 - The system consists of a 30-kg disk, 12-kg slender...Ch. 18.5 - The system consists of a 30-kg disk A, 12-kg...Ch. 18.5 - If it is released from rest when = 0, determine...Ch. 18.5 - If it is subjected to a torque of M = (91/2+ 1)...Ch. 18.5 - Starting from rest, the suspended 15-kg block B is...Ch. 18.5 - If it is released from rest, determine how far its...Ch. 18.5 - If the rack is originally moving downward at 2...Ch. 18.5 - The spring attached to its end always remains...Ch. 18.5 - If the disk rolls without slipping, determine the...Ch. 18.5 - At the instant the spring becomes undeformed, the...
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- Determine the angular velocity of bar AB.arrow_forward(a) Find the final speed V of the center of mass of the wheel once the wheel starts moving.arrow_forwardFor the system of gears below, the double gear is free to move along the horizontal. Determine the angular velocity of the double gear and the velocity of its center C. Use RELATIVE MOTION ANALYSIS AS A SOLUTIONarrow_forward
- If the bar has a clockwise angular velocity of 10 rad/s and v = 20 m/s, what are the coordinates of its instantaneous center of the bar, and what is the value of v.? If = 24 m/s and and what is its angular velocity? = 36 m/s, what are the coordinates of the instantaneous center of the bar,arrow_forwardthe angular velocity of AB is 4rad/s CW. (a) choose the correct rotation translation diagram for rod BD (b) Determine the velocity of the piston at D if Velocity of B is 2rad/s.arrow_forwardHow far from axis of T will the center of the roller R be located if the angular speed of shaft S is three times as great on that of T.arrow_forward
- The disks roll on the plane surface without slippage. The left disk rotates at 2 rad/s in the clockwise direction. Determine the angular velocity of the bar. Enter an answer in radians per second up to the second decimal place. Note that the counterclockwise direction is the positive rotation. 2 rad/s 3 ft 1 ft 1 ftarrow_forwardThe reel of rope has the angular motion shown. Which one is velocity of point B at the instant shown.arrow_forwardA cyclist pedals constantly at 7.9587 rad/s the wheels are 336.5mm in radius. If the chain is directly connected with the sprockets which are 76 mm in radius (front sprocket) and 35mm in radius (rear sprockets), Determine the angular speed of the wheel in rad/s.arrow_forward
- 2. A telephone cable reel rolls without slipping on a horizontal surface. If point A on the cable has a velocity of 0.6 m/s to the right, find the angular velocity of the reel and velocity of the center O. 1.8 m -0.6 m Aarrow_forwardIf the bar AB moves with the angular velocity ? (AB) = 6 rad / s, determine the value of the linear velocity of points B and C and the value of the angular velocity of the bar BC in the situation shown in the drawing.arrow_forwardIf the rod AB rotates counterclockwise with an angular velocity o = 8 rad / s, calculate the velocities of the C and D blocks at the moment shown in the figure below.arrow_forward
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