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Chapter 11: Q3P (page 320)
Question: A 140Kghoop rolls along a horizontal floor so that the hoop鈥檚 center of mass has a speed of 0.150 m/s.How much work must be done on the hoop to stop it?
Answer
Work needed to stop the hoop is -3.15j .
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A wheel is rotating freely at angular speed on a shaft whose rotational inertia is negligible. A second wheel, initially at rest and with twice the rotational inertia of the first, is suddenly coupled to the same shaft.
(a) What is the angular speed of the resultant combination of the shaft and two wheels?
(b) What fraction of the original rotational kinetic energy is lost?
In Figure a bullet is fired into a block attached to the end of a non uniform rod of mass The block鈥搑od鈥揵ullet system then rotates in the plane of the figure, about a fixed axis at A. The rotational inertia of the rod alone about that axis at Ais Treat the block as a particle.
(a) What then is the rotational inertia of the block鈥搑od鈥揵ullet system about point A?
(b) If the angular speed of the system about Ajust after impact what is the bullet鈥檚 speed just before impact?
In Figure, a child stands on the edge of a stationary merry-go-round of radiusthe rotational inertia of the merry-go-round about its rotation axis isthe child catches a ball of massthrown by a friend. Just before the ball is caught, it has a horizontal velocityof magnitude, at anglewith a line tangent to the outer edge of the merry-go-round, as shown. What is the angular speed of the merry-go-round just after the ball is caught?
A uniform solid sphere rolls down in an incline (a) what must be the incline angle if the linear acceleration of the center of the sphere is tohave a magnitude of the ? (b) If the frictionless block were to slide down the incline at that angle, would its acceleration magnitude be more than, less than, or equal to ? why?
A car travels aton a level road in the positive direction of an xaxis. Each tire has a diameter ofRelative to a woman riding in the car, and in unit-vector notation,whatis the velocityat the (a) center (b) top, and (c) bottom of the tire? What is the magnitude aof the acceleration at the (d) center (e)top, and (f)the bottom of each tire? Relative to a hitchhiker sitting next to the road and in unit-vector notation, what is the velocityat the (g) centre (h) top, and (i) bottom of the tire? And the magnitude aof the acceleration at the (j) centre (k) top(l) bottom of each tire?
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