PROBLEM 16.66
A thin plate of the shape indicated and of mass m is suspended from two
springs as shown. If spring 2 breaks, determine the acceleration at that
instant (a) of Point A, (b) of Point B.
A square plate of side b.
PROBLEM 16.66 (Continued)
PROBLEM 16.67
A thin plate of the shape indicated and of mass m is suspended from two
springs as shown. If spring 2 breaks, determine the acceleration at that
instant (a) of point A, (b) of point B.
A thin hoop of diameter b.
PROBLEM 16.68
A thin plate of the shape indicated and of mass m is suspended
from two springs as shown. If spring 2 breaks, determine the
acceleration at that instant (a) of Point A, (b) of Point B.
A rectangular plate of height b and width a.
PROBLEM 16.68 (Continued)
PROBLEM 16.69
A sphere of radius r and mass m is projected along a rough horizontal surface with the
initial velocities indicated. If the final velocity of the sphere is to be zero, express, in
terms of v0, r, and
,
k
µ
(a) the required magnitude of
0,ω
(b) the time t1 required for the
sphere to come to rest, (c) the distance the sphere will move before coming to rest.
PROBLEM 16.69 (Continued)
PROBLEM 16.70
Solve Problem 16.69, assuming that the sphere is replaced by a uniform thin hoop of
radius r and mass m.
PROBLEM 16.69 A sphere of radius r and mass m is projected along a rough
horizontal surface with the initial velocities indicated. If the final velocity of
the sphere is to be zero, express, in terms of v0, r, and
,
k
µ
(a) the required magnitude of
0,
ω
(b) the time t1 required for the sphere to come to rest, (c) the distance the sphere
will move before coming to rest.
PROBLEM 16.70 (Continued)
PROBLEM 16.71
A bowler projects an 8–in.–diameter ball weighing 12 lb along an alley with a forward
velocity v0 of 15 ft/s and a backspin
ω
0 of 9 rad/s. Knowing that the coefficient of
kinetic friction between the ball and the alley is 0.10, determine (a) the time t1 at which
the ball will start rolling without sliding, (b) the speed of the ball at time t1, (c) the
distance the ball will have traveled at time t1.