By H. W. Harkness
Read or Download Elementary Plane Rigid Dynamics PDF
Similar elementary books
Introduction to the History of Mathematics
This vintage best-seller by means of a well known writer introduces arithmetic background to math and math schooling majors. recommended essay themes and challenge reports problem scholars. CULTURAL CONNECTIONS sections clarify the time and tradition within which arithmetic built and developed. pics of mathematicians and fabric on ladies in arithmetic are of designated curiosity.
Fourier Series in Orthogonal Polynomials
A dialogue of the constitution of linear semigroups, that's, subsemigroups of the multiplicative semigroup Mn(K) of n x n matrices over a box okay (or, extra normally, skew linear semigroups - if okay is permitted to be a department ring) and its functions to convinced difficulties on associative algebras, semigroups and linear representations.
- Elementary and Intermediate Algebra
- Numerical analysis, Edition: 9th ed
- Riddles of the Sphinx and Other Mathematical Puzzle Tales (New Mathematical Library Series/No. 32)
- Abstract Algebra. Student's Solution Manual
Additional info for Elementary Plane Rigid Dynamics
Sample text
RIGID BODY MOTION AROUND A FIXED AXIS so limit *ΰβϊ t->o At = (/ v β)ω = L ' and is directed at right angles to (ΖΩ), that is along the X-axis. The torque, L, which this vector represents is round the X-axis +~X DIAGRAM I-2C in the clockwise sense when looking in the positive direction along the X-axis. It is the gyroscope torque: L =ΙΩω where L is the torque required to maintain the precessional rotation ω rad/sec; its vector is at right angles to both the vectors representing Ω and ω; / is the tnoment of inertia of the rotating wheel for an axis along the shaft; ROLLING MOTION 27 Ω is the angular velocity of the wheel round its own axis in rad/sec; ω is the precessional velocity.
11. Two weights of 5 lb each can slide on a rod but are held at the same distance from the center by a pair of cords running to pulley at the center and to a swivel below. T h e rod with the weights is turning at 60 rpm when the weights are each 2 ft from the center. At what speed will the system turn if the weights are pulled in so as to move in a circle of 1 ft radius? Compare the kinetic energies in the two positions and calculate the work done or the system. 12. ft long is pivoted on a horizontal axis 2 ft from one end and allowed to fall from the horizontal position.
It is carried on a shaft 3 in. in diameter at the circumference of which a constant tangential force of 50 lb opposes the rotation of the wheel. If the wheel is rotating 60 times per minute, how long will it take to come to rest, and how many rotations will it make in doing so ? 5. A weight of 40 lb attached to a cord which is wrapped around the 2-in. spindle of a flywheel descends and thereby causes the wheel to rotate. If the weight descends 6 ft in 10 sec and the friction of the bearing is equivalent to a force of 3 lb at the circumference of the spindle, find the moment of inertia of the flywheel.