A block is kept on a rough horizontal plank. The coefficient of friction between the block and the plank is 1//2. The plank is undergoing SHM of angular frequency 10 rad//s. Find the maximum umplitude of plank in which the block does not slip over the plank (g = 10 m//s^(2)).

A block is kept on a rough horizontal plank. The coefficient of fricti

1.	A block is kept on a rough horizontal plank. The coefficient of friction between the block and the plank is 1//2. The plank is undergoing SHM of angular frequency 10 rad//s. Find the maximum umplitude of plank in which the block does not slip over the plank (g = 10 m//s^(2)).
Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :Maximum acceleration in <a href="https://interviewquestions.tuteehub.com/tag/shm-630759" style="font-weight:bold;" target="_blank" title="Click to know more about SHM">SHM</a> is `a_("max")= omega^(2)A` this will be provided to the block by friction. <a href="https://interviewquestions.tuteehub.com/tag/hence-484344" style="font-weight:bold;" target="_blank" title="Click to know more about HENCE">HENCE</a>, `a_("max")= mug` or `omega^(2)A=mug` <br/> or `a= (mug)/(omega^(2))= (((1)/(2))(10))/((10)^(2))= 0.05 m= <a href="https://interviewquestions.tuteehub.com/tag/5cm-326441" style="font-weight:bold;" target="_blank" title="Click to know more about 5CM">5CM</a>`</body></html>