Question

AA
The tension in the string at extreme position is Ty and at bottom is T2, while moving in a vertical circle, with
angular amplitude of pendulum as 0. Match the following columns : COLUMN - 1 COLUMN -||
Column 1
Column II
(A) 0 = cos-1(3/4)
(P) T2 = 2T
(B) 0 = cos-1(2/3)
(Q)T2 = 7T
(C) 0 = cos ?(1/3)
(R) T2 = 2.5T
(D) 0 = cos-1(1/2)
(S) None of these​

Answer 1

Answer:

Explanation:

At A

T  

A

​  

=mgcos60  

0

 

T  

A

​  

=  

2

mg

​  

 

By Work Energy Theorem from A to B

mgR(1−cos60  

0

)=  

2

1

​  

mV  

2

 

mg  

2

R

​  

=  

2

1

​  

mV  

2

 

V=  

Rg

​  

 

At B

T  

B

​  

−mg=  

R

mV  

2

 

​  

 

T  

B

​  

=mg+mg=2mg

∴  

T  

A

​  

 

T  

B

​  

 

​  

=  

mg/2

2mg

​  

=4