You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XIII

Physics

Calculating Friction Using Coeffcients

Three blocks ...

Question

Three blocks $A, B$ and $C$ of mass $m$ each are arranged in pulley mass system as shown. Coefficient of friction between block $A$ and horizontal surface is equal to $0.5$ and a force $P$ acts on $‘ A^{'}$ in the direction shown. The value of $\frac{P}{m g}$ so that block $‘ C^{'}$ doesn’t move is

Open in App

Solution

By string constraints,
If $C$ doesn't move then $a_{A} = 4 a_{B}$ ... (i)
$P - T - μ m g = m 4 a_{B}$ ... (ii)
$4 T - m g = m a_{B}$ ... (iii)
Also $2 T = m g$ (balancing force on $C$ )
$∴ \frac{p}{m g} = 5$

Suggest Corrections

Similar questions

Q. Three blocks

A, B

and

C

of mass

m

each are arranged in pulley mass system as shown. Coefficient of friction between block

A

and horizontal surface is equal to

0.5

and a force

P

acts on

‘ A^{'}

in the direction shown. The value of

\frac{P}{m g}

so that block

‘ C^{'}

doesn’t move is

Q. In the arrangement shown in the figure, masses of the blocks

A

and

B

are

m

and

2 m

respectively. Surface between block

B

and floor is smooth. The block

B

is connected to the block

C

by means of a string pulley system. If the whole system is released, then find the minimum value of mass of block

C

so that block

A

remains stationary w.r.t.

B

. Coefficient of friction between

A

and

B

μ

Q. Three blocks

A, B

and

C

of equal mass

m

are placed one over the other on a frictionless surface (table) as shown in the figure. Co-efficient of friction between any two blocks

A, B

and

C

μ

. The maximum value of force

F

so that the block

A, B

and

C

move without slipping over each other it (pulleys and strings are light).

Two blocks of masses M = 5 kg and m = 3 kg are placed on a horizontal surface as shown in the figure. The coefficient of friction between the blocks is 0.5 and that between the block M and the horizontal surface is 0.7. What is the maximum horizontal force F that can be applied to block M so that both the blocks move together?

Q. In the arrangement shown in the figure, mass of the block B and A is

2

m and m respectively. Surface between B and floor is smooth. The block B is connected to the block C by means of a string pulley system. If the whole system is released, then find the minimum value of mass of block C so that block A remains stationary w.r.t. B. Coefficient of friction between A and B is

μ

Join BYJU'S Learning Program

Three blocks A,B and C of mass m each are arranged in pulley mass system as shown. Coefficient of friction between block A and horizontal surface is equal to 0.5 and a force P acts on ‘A′ in the direction shown. The value of Pmg so that block ‘C′ doesn’t move is

By string constraints, If C doesn't move then aA=4aB ... (i) P−T−μmg=m4aB ... (ii) 4T−mg=maB ... (iii) Also 2T=mg (balancing force on C) ∴pmg=5

By string constraints,
If $C$ doesn't move then $a_{A} = 4 a_{B}$ ... (i)
$P - T - μ m g = m 4 a_{B}$ ... (ii)
$4 T - m g = m a_{B}$ ... (iii)
Also $2 T = m g$ (balancing force on $C$ )
$∴ \frac{p}{m g} = 5$