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A baseball bat is 1 meter long and is made of wood with density 525 kg/m^3. Model the bat as two cylinders of equal length. The handle has a diameter of 0.70 cm and the business end has a diameter of 2.75 cm.
a) If the bat is held such that the point of rotation is 5.0 cm from the thin end, what is the rotational inertia of the bat?
b) Where approximately is the "sweet spot" of the bat?
c) If the bat is suspended at a point 5.0 cm from the end, what will be its period of oscillation?
d) If a forcing function is applied to the physical pendulum in part (c), what forcing frequency will cause the amplitude to become very large?
A coach tells his little league players that hitting a .275 batting average, within 7% percentage error, means that they had a really great season. 7-year-old Tommy ended the season hitting a .258 batting average. According to his coach, did he ha..
A good baseball pitcher can throw a baseball toward home plate at 91 miles per hour with a spin of 1789 revolutions per minute. How many revolutions does baseball make on its way to home plate? For simplicity, assume that the 60.0 ft path is a straig..
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A 9kg block is connected by a string over a light pulley to a 5kg block that is sliding over a flat table (i.e. the 9kg is pulling the 5kg off the table). If Co-efficient of kinetic friction is 0.200, find the tension in the string.
Two people stand 5.20 m apart and 4.00 m away from a large plane mirror in a dark room. At what angle of incidence should one of them shine a flashlight on the mirror so that the reflected beam straight strikes the other person.
A force acts on a block weighing 45N. The block is initially at rest on a plane inclined at angle θ = 18.0° to the horizontal. The positive direction of x axis is up the plane.
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