We plan to keep the block of mass 'm' stationary wrt. the wedge by accelerating the latter to the left.
This is possible for a significantly wide range of accelerations. Infact, the acceleration can be anywhere between g*tan(A) and g*tan(B). However, a certain value of acceleration, equal to g*tan(C) is of significant interest.
Your task is to report the values of A,B,C; in degrees. Your answer should be 3 comma separated values, correct upto 2 places of decimal.
Note:
Angle of the incline: 60*.
Coeff. of friction b/w wedge and mass: 1.
PS. : we've done a very similar problem before.
i think it shud be 15, 60 and 105
ReplyDeletethis is 'troll mathematics'? tan 105 is -ve!
ReplyDeletebhaiya I am getting 15,75,60
ReplyDeletei had a doubt about it earlier too
ReplyDeletedunno, still feel 15, 60, and 105 correct for the present scenario
an -ve accn? would like to hear the reasons behind that...
ReplyDeletelets keep the accn. positive here..give a range in the positive values.
the answer must be 0, 60, 75 but don't know why isn't it accepting..
ReplyDeleteAt '0', accn. is 0.
ReplyDeleteWith '0' accn., the block would slip down.
bhaiya is my answer wrong
ReplyDelete1)someone tell me about this 75*?? how are u getting this.
ReplyDeletehere's a hint (which solves the problem completely): does the block slip at infinite accn.?
2)@amit: your answer is probably wrong. the 'judge' (thats what we call an automated answer checker) is probably right.
Bhaiya, the block does slip at infinite acceleration
ReplyDeleteme getting the same answer as amit
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ReplyDeletem sorry.. m getting 15, 60 and 90.. finally! but the judge still says its incorrect..
ReplyDeleteYes block does slip at infinite acceleration.
ReplyDeletePS- I would say jiska bhi answer galat hai na(including me excluding bhaiya) use chullu bhar paani mein doob kar mar jaana chahiya. IIT 'SIRF' isi saal dena hai :D
@shivanker, please xplain how you got 90, At infinite acc wont block move up???
ReplyDeletelet mu=tanR=1, hence R-45
ReplyDeletenow, why is the answer not gtan(60-45), gtan(60), gtan(60+45)
just like we do in case of car on a banked curve, vahan bhi to acceleration is horizontal, isn't it a perfect analogy?
or, this means(i think i shud have said it before only) that there no upper limit for acc for which block remains stationary wrt wedge
ReplyDeleteok got my mistake. no need of chullu bhar paani- question acha tha.
ReplyDeleteso whats the final answer?
ReplyDeleteans is 15.00,90.00,60.00
ReplyDelete