Engineering Mechanics: Dynamics Study (Book and Pearson eText)
14th Edition
ISBN: 9780134116990
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 21.6, Problem 78P
To determine
The steady-state precession about the z axis.
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Chapter 21 Solutions
Engineering Mechanics: Dynamics Study (Book and Pearson eText)
Ch. 21.1 - Show that the sum of the moments of inertia of a...Ch. 21.1 - Determine the moment of inertia of the cone with...Ch. 21.1 - Determine moment of inertia Iy of the solid formed...Ch. 21.1 - Determine the moments of inertia Ix and Iy of the...Ch. 21.1 - The density of the material is . Express the...Ch. 21.1 - Prob. 6PCh. 21.1 - Prob. 7PCh. 21.1 - Prob. 8PCh. 21.1 - The weight of the cone is 15 lb, the height is h =...Ch. 21.1 - The density of the material is .
Ch. 21.1 - Prob. 11PCh. 21.1 - Determine the moment of inertia Ixx of the...Ch. 21.1 - Determine the product of inertia Iyz of the...Ch. 21.1 - Prob. 14PCh. 21.1 - Prob. 15PCh. 21.1 - Determine the moment of inertia of the rod about...Ch. 21.1 - Prob. 17PCh. 21.1 - Prob. 18PCh. 21.1 - Prob. 19PCh. 21.1 - Prob. 20PCh. 21.1 - Prob. 21PCh. 21.3 - If a body contains no planes of symmetry, the...Ch. 21.3 - Prob. 23PCh. 21.3 - Prob. 24PCh. 21.3 - The large gear has a mass of 5 kg and a radius of...Ch. 21.3 - Prob. 26PCh. 21.3 - Prob. 27PCh. 21.3 - Prob. 28PCh. 21.3 - Prob. 29PCh. 21.3 - Prob. 30PCh. 21.3 - Prob. 31PCh. 21.3 - Prob. 32PCh. 21.3 - The 20-kg sphere rotates about the axle with a...Ch. 21.3 - The 200-kg satellite has its center of mass at...Ch. 21.3 - Prob. 35PCh. 21.3 - Prob. 36PCh. 21.3 - Prob. 37PCh. 21.3 - Prob. 38PCh. 21.3 - Prob. 39PCh. 21.3 - Prob. 40PCh. 21.4 - Derive the scalar form of the rotational equation...Ch. 21.4 - Prob. 42PCh. 21.4 - Prob. 43PCh. 21.4 - Prob. 44PCh. 21.4 - The disk has a weight of 15 lb. Neglect the weight...Ch. 21.4 - Prob. 46PCh. 21.4 - Prob. 47PCh. 21.4 - Prob. 48PCh. 21.4 - Prob. 49PCh. 21.4 - Prob. 50PCh. 21.4 - Prob. 51PCh. 21.4 - The 5-kg circular disk is mounted off center on a...Ch. 21.4 - Prob. 53PCh. 21.4 - Prob. 54PCh. 21.4 - Prob. 55PCh. 21.4 - The 4-kg slender rod AB is pinned at A and held at...Ch. 21.4 - Prob. 57PCh. 21.4 - Prob. 58PCh. 21.4 - Prob. 59PCh. 21.4 - Show that the angular velocity of a body, in terms...Ch. 21.4 - Prob. 61PCh. 21.6 - The gyroscope consists of a uniform 450-g disk D...Ch. 21.6 - Prob. 63PCh. 21.6 - Prob. 64PCh. 21.6 - Prob. 65PCh. 21.6 - When viewed from the front of the airplane, the...Ch. 21.6 - Prob. 67PCh. 21.6 - Prob. 68PCh. 21.6 - Prob. 69PCh. 21.6 - Prob. 70PCh. 21.6 - Prob. 71PCh. 21.6 - Prob. 72PCh. 21.6 - Prob. 73PCh. 21.6 - Prob. 74PCh. 21.6 - Prob. 75PCh. 21.6 - Prob. 76PCh. 21.6 - Prob. 77PCh. 21.6 - Prob. 78P
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- In the figure, the engine of a vehicle is shown as a representation.The crankshaft of the engine around the x-axis It rotates at 4000 rpm and its moment of inertia is 0.5 kgm2.Moving in the y direction, the vehicle enters the curve with a radius of 70 m at a speed of 120 km/h. In the meantime, find the moment coming to the motor bearings and interpret its effect on the vehicle.arrow_forwardThe platform AB when empty has a mass of 400 kg centre of mass at G1 and natural period of oscillation t1=3.82 s. If a car, having a mass of 1.2 Mg and centre of mass at G2 is placed on the platform, the natural period of oscillation becomes t1=4.58 s. Determine the moment of inertia of the car about an axis passing through G2.arrow_forwarda gyroscope is made from a wheel mounted horizontally on a light axle (see figure). The axle pivots freely at one end, which is l =0.100m from the centre of the wheel. The wheel is a uniform disk with a radius of R=0.204m and mass M and rotates at angular speed ? =28.1s^-1 in the direction shown. Calculate the precession speed Ω. Express your answer as a positive number if the precession is anticlockwise viewed from above (i.e. the gyroscope initially moves away from you) and as a negative number otherwise.arrow_forward
- A mass of 500 kg is being lifted at uniform speed of 1.5 m/s by a winch driven by a motor running at a speed of 1000 r/min. The moments of inertia of the motor and winch are 0.5 and 0.3 kg^2, respectively. In the absence of the mass, the motor develops a torque of 100 Nm at a speed of 1000 r/min. Calculate a) the equivalent moment of inertia referred to the motor side; b) the motor torque.arrow_forwardThe work done by spring is The work done by weight is Polar moment of inertia about B is angular velocity at position 2arrow_forwardA disk with mass m = 6.5 kg and radius R = 0.39 m hangs from a rope attached to the ceiling. The disk spins on its axis at a distance r = 1.32 m from the rope and at a frequency f = 18.9 rev/s (with a direction shown by the arrow). what is the torque due to gravity on the disk? what is the period of precession for this gyroscope? what is the direction of precession of the gyroscope?arrow_forward
- Find the resultant reaction at each bearing due to the mass and gyroscopic effects for a uniform disc of 8cm radius has a weight of 75N. It is mounted centrally in bearings which maintain its axle in a horizontal plane. The disc spins about it axle with a constant speed of 18 r.p.s. while the axle precesses uniformly about the vertical at 1.2 r.p.m. The directions of rotation you can assume in any direction If the distance between the bearings is 15cm.arrow_forwardThe strings AB and AC connect 500-g mass A to the vertical shaft BC. When the shaft rotates with a constant angular velocity of 15 rad/s, the ball has circular motion in the horizontal plane with the strings having angles of ? = 55° shown in the figure. Find the tension forces at the strings AB and AC.arrow_forwardFind the mass-radius products and the angular location needed to dynamically balance the system using the correction plane A and Barrow_forward
- THE WEIGHT OF THE UNBALANCED WHEEL IS 200 KG AND IT HS A RADIUS OF GYRATION ABOUT ITS MASS CENTER, G, OF 0.3 METERS. AT THE INSTANT SHOWN IT IS ROTATING AT 6 RAD/SIN A CLOCKWISE DIRECTION. FIND THE FORCES BETWEEN AT THE PIVOT POINT C. Please include a Free Body Diagramarrow_forwardThe shaft, bearing two unbalanced masses, rotates at a constant speed of ω = 20 r/s. In the case of balancing in the DI and DII planes, find the balancing values (kg.mm) and their positions.arrow_forwardA car is moving on a curved horizontal road of radius 100 m with a speed of 20 m/s. The rotating masses of the engine have an angular speed of 100 rad/s in clockwise direction when viewed from the front of the car The combined moment of inertia of the rotating masses is 10 kg-m².what is the magnitude of the gyroscopic moment in (N-m)?arrow_forward
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