BASIC BIOMECHANICS
BASIC BIOMECHANICS
8th Edition
ISBN: 9781259913877
Author: Hall
Publisher: RENT MCG
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Chapter 11, Problem 4AP

A polo player’s arm and stick form a 2.5-m rigid segment. If the arm and stick are swung with an angular speed of 1.0 rad/s as the player’s horse gallops at 5 m/s, what is the resultant velocity of a motionless ball that is struck head-on? (Assume that ball velocity is the same as the linear velocity of the end of the stick.) (Answer: 7.5 m/s)

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Rotate the ball horizontally on an 80 cm long non-stretchable cord with angular velocity of 3 s^(-1). After ten seconds of clockwise rotation, the cord breaks. At what speed and in what direction does the ball fly, if it was faced north at time t = Os? Where and after how much time does the ball land on the ground that is 1 m below the plaine in which we rotate the string? {Solution: v= (0.37 m/s,2.37 m/s); d=1.07 m, t=0.447 s.) }
The “mean-speed theorem” for finding average velocity under constant acceleration, proposed by the Oxford Calculators, and demonstrated geometrically by Nicole Oresme, is expressed algebraically as: density = weight/volume (m1)(v1) = (m2)(v2) (vm) = 1/2 (v0 + vf) s = (v0)(t) + 1/2 (a)(t2) velocity = distance/time
The “mean-speed theorem” for calculating average velocity under constant acceleration, developed by Thomas Bradwardine and the Mertonian Calculators at Oxford University, is expressed algebraically as: density = weight/volume (m1)(v1) = (m2)(v2) C. (vm) = 1/2 (v0 + vf) s = (v0)(t) + 1/2 (a)(t2)  velocity = distance/time
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