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Standard IX
Physics
Equation of Motion of Free Fall
31. A block o...
Question
31. A block of mass m is placed on a smooth hemispherical movable body of mass m. The system is initially at rest. Now the block is gently disturbed. Angle alpha with the vertical, at which the block leaves the contact with the hemisphere
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Q.
A smooth hemisphere of mass
M
is kept on a smooth surface. A block of mass
m
(
=
M
/
3
)
is kept on the top of the hemisphere as shown in the figure. The hemisphere is displaced slightly and both the hemisphere and the block starts moving. At an angle
θ
with the vertical (subtended by the block at the centre of the hemisphere), the relation between the velocity of the block(
V
) and the velocity of the hemisphere (
v
0
) is (
V
is the velocity of the block w.r.t the hemisphere at that instant)
Q.
A symmetric block of mass
m
1
with groove of hemispherical shape of radius 'r' rest on a smooth horizontal surface in contact with the wall as shown in the figure. A small block of mass
m
2
slides without friction from the initial position. Find the maximum velocity of the block
m
1
Q.
A small block of mass
m
is placed on a body of mass
M
at rest. If the block is set in horizontal motion with velocity
v
as shown,
(Assume that the small block leaves from surface of
M
vertically at A and all surfaces are smooth)
Find velocity of mass
M
,
when the small block leaves the surface of
M
.
Q.
A symmetric block of mass
m
1
=
1
k
g
with a groove of hemispherical shape of radius
r
=
5
m
rests on a smooth horizontal surface in contact with the wall as shown in the figure. A small block of mass
m
2
=
1
k
g
slides without friction from the initial position. Find the maximum velocity of the block
m
1
.
Q.
A small block of mass
m
is placed on a body of mass
M
at rest. If the block is set in horizontal motion with velocity
v
as shown,
(Assume that the small block does not leave surface of
M
and all surfaces are smooth)
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