A uniform disc rolls without slipping on a rough horizontal surface with uniform angular velocity. Point is the centre of disc and is a point on disc as shown in Figure. In each situation oc column I a statement is given and the corresponding results are given in Column II. Match the statements in Column I with the results in Column II
Column-I |
Column- II |
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(A) |
The velocity of point on the disc |
(p) |
Changes in magnitude with time |
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(B) |
The acceleration of point on the disc |
(q) |
Always directed from that point (the point on disc given in column I) towards the centre of disc |
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(C) |
The tangential acceleration of point on the disc |
(r) |
Is always zero |
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(D) |
The acceleration of the point on the disc which is in constant with rough horizontal surface |
(s) |
Is non-zero and remains constant in magnitude |
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CODES : |
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|
A |
B |
C |
D |
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a) |
C |
a |
b,d |
a |
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b) |
a |
b,d |
a |
b,d |
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c) |
c |
a |
b |
d |
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d) |
d |
c |
a |
b |
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A uniform disc rolls without slipping on a rough horizontal surface with uniform angular velocity. Point is the centre of disc and is a point on disc as shown in Figure. In each situation oc column I a statement is given and the corresponding results are given in Column II. Match the statements in Column I with the results in Column II
Column-I |
Column- II |
||||||||
(A) |
The velocity of point on the disc |
(p) |
Changes in magnitude with time |
||||||
(B) |
The acceleration of point on the disc |
(q) |
Always directed from that point (the point on disc given in column I) towards the centre of disc |
||||||
(C) |
The tangential acceleration of point on the disc |
(r) |
Is always zero |
||||||
(D) |
The acceleration of the point on the disc which is in constant with rough horizontal surface |
(s) |
Is non-zero and remains constant in magnitude |
||||||
CODES : |
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|
A |
B |
C |
D |
|
|
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a) |
C |
a |
b,d |
a |
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b) |
a |
b,d |
a |
b,d |
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c) |
c |
a |
b |
d |
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d) |
d |
c |
a |
b |
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|
(b)
a. Speed of point change with time
b. Acceleration of point is equal to angular speed of disc and . The acceleration is direction from towards
c. The angle between acceleration of (constant in magnitude) and velocity of changes with time. Therefore, tangential acceleration of changes with time
d. The acceleration of the lowest point is directed towards the centre of the disc and remains constant with time