You are standing on the edge of a rotating merry-go-round.You feel an acceleration pointing towards the center of the merry-go-round. This means: a) The rate of rotation of the merry-go-round is increasing.b) The rate of rotation of the merry-go-round is decreasing.c) The rate of rotation of the merry-go-round is constant.d) We cannot say anything about the rate of rotation.e) The merry-go-round is not rotating, it is at rest. hoop and a disk with uniform mass distribution have the sa-me radius but the total masses are not known. Can they both roll down a ra-mp without slipping and reach the bottom in the same time? And if s-o, what can you deduce about the relative masses? a) The hoop and disk have the same mass.b) The hoop is heavier, twice the mass of the disk.c) The disk is heavier, twice the mass of the hoop.d) They cannot reach the bottom at the same time regardless ofmass.e) The disk is lighter, three-fourth the mass of the hoop.  3. A ball is released from rest on a no-slip surface, as shown i-n the figure. After reaching its lowest point, the ball begins to rise again,this time on a frictionless surface as shown in the figure. When the ball re-aches its maximum height on the frictionless surface, it is: a) at a greater height than when it was released.b) at a lesser height than when it was released.c) at the same height than when it was released.d) Impossible to tell without knowing the ball’s mass.e) Impossible to tell without knowing the ball’s radius.

Question
Asked Feb 16, 2020
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You are standing on the edge of a rotating merry-go-round.
You feel an acceleration pointing towards the center of the merry-go
-round. This means:
 
a) The rate of rotation of the merry-go-round is increasing.
b) The rate of rotation of the merry-go-round is decreasing.
c) The rate of rotation of the merry-go-round is constant.
d) We cannot say anything about the rate of rotation.
e) The merry-go-round is not rotating, it is at rest.
 
hoop and a disk with uniform mass distribution have the sa-
me radius but the total masses are not known. Can they both roll down a ra-
mp without slipping and reach the bottom in the same time? And if s-
o, what can you deduce about the relative masses?
 
a) The hoop and disk have the same mass.
b) The hoop is heavier, twice the mass of the disk.
c) The disk is heavier, twice the mass of the hoop.
d) They cannot reach the bottom at the same time regardless of
mass.
e) The disk is lighter, three-fourth the mass of the hoop. 
 
3. A ball is released from rest on a no-slip surface, as shown i-
n the figure. After reaching its lowest point, the ball begins to rise again
,this time on a frictionless surface as shown in the figure. When the ball re-
aches its maximum height on the frictionless surface, it is:
 
a) at a greater height than when it was released.
b) at a lesser height than when it was released.
c) at the same height than when it was released.
d) Impossible to tell without knowing the ball’s mass.
e) Impossible to tell without knowing the ball’s radius.
check_circle

Expert Answer

Step 1

1. Merry go round has no angular acceleration, the rider feels the centripetal acceleration towards the center. So,

c) The rate of rotation is constant

 

2. The moment of inertia of both will be depend on mass distribution and radius...

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