Question

A wheel is rolling without slipping on a horizontal plane with velocity $v$ and acceleration a of centre of mass as shown in figure. Acceleration at

• A. $A$ is vertically upwards
• B. $B$ may be vertically downwards
• C. $C$ cannot be horizontal
• D. a point on the rim may be horizontal leftwards

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A $A$ is vertically upwards
B $B$ may be vertically downwards
C $C$ cannot be horizontal
D a point on the rim may be horizontal leftwards

Net acceleration of any point on the rim is vector sum of $a,R{\omega }^2$ and $R\alpha$ with $a=R\alpha$
$a_A=R{\omega }^2\to$ vertically upwards
If $a=R{\omega }^2,a_B$ is vertically downwards and so on.