A uniform solid sphere of mass 1.5 kg and diameter 30.0 cm starts from rest and rolls without slipping down a 35° incline that is 7.0 m long
(a) Calculate the linear speed of the center of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere about its center at the bottom of the incline.
(c) Through what angle (in radians) does this sphere turn as it rolls down the incline?
(d) Does the linear speed in (a) depend on the radius or mass of the sphere? Does the angular speed in (b) depend on the radius or mass of the sphere?
(a) 7.5 m/s (b) 50 rad/s (c) 47 rad
(d) The linear speed depends on neither the radius nor the mass of the sphere. The angular speed depends on the radius of the sphere.
You might also like to view...
The Sun's evolution from youngest to oldest stage is
A. protostar, red giant, main sequence, white dwarf. B. white dwarf, red giant, main sequence, protostar. C. protostar, main sequence, red giant, white dwarf. D. red giant, main sequence, white dwarf, protostar.
Certain types of sunglasses are very effective at diminishing light reflected from surfaces because of __________
Fill in the blank(s) with correct word
A 0.16-kg block on a horizontal frictionless surface is attached to an ideal spring whose force constant (spring constant) is 360 N/m
The block is pulled from its equilibrium position at x = 0.000 m to a position x = +0.080 m and is released from rest. The block then executes simple harmonic motion along the horizontal x-axis. When the position is x = -0.037 m, what is the acceleration of the block? A) 83 m/s2 B) 43 m/s2 C) 64 m/s2 D) 270 m/s2 E) 370 m/s2
The diagram below shows the position of a long straight wire perpendicular to the page and a set of directions labeled A through H. When the current in the wire is directed up out of the page, the direction of the magnetic field at point P is
A. D. B. E. C. F. D. G. E. H.