Krotov question 1.29 | Find time taken by an object to roll down a slope

the answer key has used work energy theorem and I haven't studied it till now, can anyone do this question with other methods because I cannot find any others
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19 Replies
iTeachChem Helper
@Gyro Gearloose @Gyro Gearloose
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Note for OP
+solved @user1 @user2... to close the thread when your doubt is solved. Mention the users who helped you solve the doubt. This will be added to their stats.
atomistic1
atomistic1OP3mo ago
this is the answer I got
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coolguy.
coolguy.3mo ago
im trying by integrating, found out the length travelled, but getting stuck after that
atomistic1
atomistic1OP3mo ago
what I did was to find the maximum velocity and distance covered when acceleration is zero
atomistic1
atomistic1OP3mo ago
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atomistic1
atomistic1OP3mo ago
then I out acceleration as dv/dt put and tried to get time till the acceleration becomes zero
atomistic1
atomistic1OP3mo ago
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atomistic1
atomistic1OP3mo ago
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atomistic1
atomistic1OP3mo ago
now I really don't know if my dt = dl/v substitution is even correct or if even my final answer is correct because krotov answer contains pi but it uses oscillation to get it
CorrodedCoffin
CorrodedCoffin3mo ago
Can u share the given ans
atomistic1
atomistic1OP3mo ago
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CorrodedCoffin
CorrodedCoffin3mo ago
What have you done after splitting the integral and finding the time till a=0 It's not clear in the images
atomistic1
atomistic1OP3mo ago
i got the integral of ldt from t=0 to t=t then i put v=dl/dt, so dt = dl/v substitute this into dt in the intergal then i put limits of l according to the time at t=0 ( l =0) and t=t( l = tan(theta)/b) then i put v as l as i got its funnction wrt l above oh i think i made a mistake here the value of v i substituted
Sephrina
Sephrina3mo ago
@atomistic1 please use the topic in title
atomistic1
atomistic1OP3mo ago
done
CorrodedCoffin
CorrodedCoffin3mo ago
honestly i believe this is beyond the scope of jee . try after doing shm ig
atomistic1
atomistic1OP3mo ago
oo so it cannot be done with nlm equations sorry but I cannot be found talking to people on the internet by my family lol. You can ask the staff here if they can arrange a meet with many students in this server

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