A slender rod of mass and length
is pivoted about a horizontal axis through one end and released from rest at an angle of 30
above the horizontal. The force exerted by the pivot on the rod are the instant when the rod passes through a horizontal position is
a) |
|
b) |
|
c) |
|
d) |
|
A slender rod of mass and length
is pivoted about a horizontal axis through one end and released from rest at an angle of 30
above the horizontal. The force exerted by the pivot on the rod are the instant when the rod passes through a horizontal position is
a) |
|
b) |
|
c) |
|
d) |
|
(c)
The angular velocity of the rod about the pivot when it passes through the horizontal position is given by
Radial acceleration of the centre of mass (as centre of mass is moving in a circle of radius is given by
Torque about pivot, in the horizontal position, is
Tangential acceleration of the centre of mass,
Draw the FBD of the rod at an instant when it passes through the horizontal position. Use Newton’s second law of equation
So, reaction force by the pivot on the rod,
at an angle of
with the horizontal
The graph between kinetic energy and momentum of a particle is plotted as shown in fig. The mass of the moving particle is
a) |
1kg |
b) |
2kg |
c) |
3kg |
d) |
4kg |
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