The uniform solid cylinder rolls without slipping in the system shown. If the maximum compression in spring is 15 cm, the possible friction force acting on the cylinder during its motion is :

Question

The uniform solid cylinder rolls without slipping in the system shown. If the maximum compression in spring is 15 cm, the possible friction force acting on the cylinder during its motion is : (A) 4N (B) 10N (C) 12N (D) 15N

Tardigrade Admin · Accepted Answer

F 1- f =3 a f R =(3 R 2/2) ( a / R ) F 1=4.5 a a =( F 1/4.5) ⇒ f =(1.5/4.5) × 30=10 N

Q. The uniform solid cylinder rolls without slipping in the system shown. If the maximum compression in spring is $15 c m$ , the possible friction force acting on the cylinder during its motion is :

4N

10N

12N

15N

$F_{1} - f = 3 a$
$f R = \frac{3 R ^{2}}{2} \frac{a}{R}$
$F_{1} = 4.5 a$
$a = \frac{F _{1}}{4.5}$
$\Rightarrow f = \frac{1.5}{4.5} \times 30 = 10 N$

Q. The uniform solid cylinder rolls without slipping in the system shown. If the maximum compression in spring is 15cm, the possible friction force acting on the cylinder during its motion is :

4N

10N

12N

15N

F1​−f=3a fR=23R2​Ra​ F1​=4.5a a=4.5F1​​ ⇒f=4.51.5​×30=10N

Q. The uniform solid cylinder rolls without slipping in the system shown. If the maximum compression in spring is $15 c m$ , the possible friction force acting on the cylinder during its motion is :

$F_{1} - f = 3 a$
$f R = \frac{3 R ^{2}}{2} \frac{a}{R}$
$F_{1} = 4.5 a$
$a = \frac{F _{1}}{4.5}$
$\Rightarrow f = \frac{1.5}{4.5} \times 30 = 10 N$