A 1 kg solid sphere rolls without slipping on a rough horizontal surface under the influence of a 
force. The force acts tangentially at the highest point of the sphere. Which of the following statements are correct?(7 N force acts towards right)
a)
The frictional force on the sphere acts towards right
b)
The value of the frictional force is 3 N
c)
The acceleration of the centre of the sphere is 9.8 
d)
The acceleration of the centre of the sphere is 10 
A 1 kg solid sphere rolls without slipping on a rough horizontal surface under the influence of a force. The force acts tangentially at the highest point of the sphere. Which of the following statements are correct?(7 N force acts towards right)
a)
The frictional force on the sphere acts towards right
b)
The value of the frictional force is 3 N
c)
The acceleration of the centre of the sphere is 9.8
d)
The acceleration of the centre of the sphere is 10
Question ID - 100607 | SaraNextGen Top Answer
A 1 kg solid sphere rolls without slipping on a rough horizontal surface under the influence of a force. The force acts tangentially at the highest point of the sphere. Which of the following statements are correct?(7 N force acts towards right)
a)
The frictional force on the sphere acts towards right
b)
The value of the frictional force is 3 N
c)
The acceleration of the centre of the sphere is 9.8
d)
The acceleration of the centre of the sphere is 10
|
A 1 kg solid sphere rolls without slipping on a rough horizontal surface under the influence of a |
|
|
a) |
The frictional force on the sphere acts towards right |
|
b) |
The value of the frictional force is 3 N |
|
c) |
The acceleration of the centre of the sphere is 9.8 |
|
d) |
The acceleration of the centre of the sphere is 10 |
(a,b,d)
The point of contact between the sphere and the surface slips to the left. So, the frictional force
acts towards the right
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If 
is the linear acceleration of the centre of mass, then considering translational motion, we get
or
(i)
Considering rotational motion about centre 
we get
Net torque 
(ii)
Adding Eqs.(i) and (ii), we get
or
From Eq. (i),
or
N