Last Updated On [03-11-2023]
A rod 
of length 
and mass 
is kept on a horizontal smooth plane. It is free to rotate and move. A particle of same mass 
moving on the plane with velocity 
strikes the rod at point 
making angle 
with the rod. The collision is elastic. After collision,
.png)
|
a) |
The angular velocity of the rod will be 72/55 |
|
b) |
The center of the rod will travel a distance |
|
c) |
Impulse of the impact force is |
|
d) |
None of these |
Question ID - 100663 :- A rod of length and mass is kept on a horizontal smooth plane. It is free to rotate and move. A particle of same mass moving on the plane with velocity strikes the rod at point making angle with the rod. The collision is elastic. After collision,
a)
The angular velocity of the rod will be 72/55 
b)
The center of the rod will travel a distance 
in the time in which it makes half rotation
c)
Impulse of the impact force is 
d)
None of these
A rod of length and mass is kept on a horizontal smooth plane. It is free to rotate and move. A particle of same mass moving on the plane with velocity strikes the rod at point making angle with the rod. The collision is elastic. After collision,
|
a) |
The angular velocity of the rod will be 72/55 |
|
b) |
The center of the rod will travel a distance |
|
c) |
Impulse of the impact force is |
|
d) |
None of these |
(a,b,c)
The ball has 
component of its velocity perpendicular to the length of the rod immediately after collision. 
is the velocity of CM of the rod and 
is angular velocity of the rod just after collision. The ball strikes the rod with a speed of 
in the perpendicular direction and its component along the length of the after the collision is unchanged
.png)
Using for the point of collision
Velocity of separation= Velocity of approach
…(i)
Conserving linear momentum (of rod+ particle) in the direction perpendicular to the rod
…(ii)
Conserving angular momentum about point 
as shown in the figure
Time taken rotate by 
angle, 
.png)
In the same time, distance travelled =
Using angular impulse- angular momentum equation
[Using impulse-momentum equation on the rod
Next Question :
In the following question letters/letter groups are arranged in a particular order with some underlying criterion. Study the order and choose the answer from the alternative to fill the gaps.
|
DKY, FJW, HIU, JHS, ……… |
|||||||
|
(a) |
KGR |
(b) |
KFR |
(c) |
KFS |
(d) |
LGQ |
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