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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 :

 

A

B

C

D

 

 

a)

C

a

b,d

a

 

 

b)

a

b,d

a

b,d

 

 

c)

c

a

b

d

 

 

d)

d

c

a

b

 

 



Question ID - 101027 | SaraNextGen Top Answer

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 :

 

A

B

C

D

 

 

a)

C

a

b,d

a

 

 

b)

a

b,d

a

b,d

 

 

c)

c

a

b

d

 

 

d)

d

c

a

b

 

 

1 Answer
127 votes
Answer Key / Explanation : (b) -

(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

127 votes


127