A block P of mass m is placed on a frictionless horizontal surface. Another block Q of same mass is kept on P and connected to the wall with the help of a spring of spring constant k as shown in the figure, µ_s is the coefficient of friction between P
and Q. The blocks move together performing SHM of amplitude A. The maximum value of the friction force between P and Q is

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

zero

kA/2

µ_smg

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let Q is displaced through a small distance x. Now force exerted by spring on Q is k x If the initial acceleration of the system be A, then

$\begin{array}{lll} kx - f & = mA . . . (1) for the upper block \\ further & f & = mA . . . (2) for the lower block \\ ∴ & kx - mA & = mA or kx = 2 mA \\ or & A & = (kx / 2 m) \end{array}$

From eq. (2), f =(m k x /2 m) = (k x /2).

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET