Download the app

Questions  

A system consists of three masses m1, m2 and m3  connected by a string passing over a pulley P. The mass m1 hangs freely and m2 and m3 are on a rough horizontal table (the coefficient of friction= μ)

The pulley is frictionless and of negligible mass. The downward acceleration of mass m1 is 

 (Assume m1=m2=m3=m

 

Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
a
g(1−gμ)9
b
2gμ3
c
g(1−2μ)3
d
g(1−2μ)2
NEW

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is C

Force of friction on mass m2=μm2g        Force of friction on mass     m3=μm3g        Let α be common acceleration of the system.∴ a=m1g−μm2g−μm3gm1+m2+m3 Here, m1=m2=m3=m Hence, the downward acceleration of mass m1 is g(1−2μ)3


Similar Questions

A skier starts from rest at point A and slides down the hill without turning or breaking. The friction coefficient is μ. When he stops at point B, his horizontal displacement is s. What is the height difference between points A and B

(The velocity of the skier is small, so that the additional pressure on the snow due to the curvature
can be neglected. Neglect also the friction of air and the dependence of μ on the velocity of the skier.) 

Get your all doubts cleared from
Sri Chaitanya experts

counselling
india
+91

phone iconwhats app icon