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  • The step pulley shown in figure starts from rest and accelerates at <img alt="2 \mathrm{rad} / \mathrm{s}^2" src="https://entrancecorner.oncodecogs.com/gif.latex?2%20%5Cmathrm%7Brad%7D%20/%20%5Cmat

The step pulley shown in figure starts from rest and accelerates at 2 \mathrm{rad} / \mathrm{s}^2. What time is required for block A to move 20 \mathrm{~m} is -
 

Option: 1

\mathrm{4 \sec}
 


Option: 2

6.4 \mathrm{sec}
 


Option: 3

7 \mathrm{sec}
 


Option: 4

4.47 \mathrm{sec}


Answers (1)

best_answer

when A moves 20 \mathrm{~m}, its angular displacement \theta is given by,

\mathrm{ S=r\cdot \theta }

\mathrm{ \theta=\frac{S}{r}=\frac{20}{1}=20 \mathrm{rad} }

Given, \mathrm{ \alpha=2 \mathrm{rad} / \mathrm{s}^2 \: and \: \omega_0=0 }

By second equation of motion, we have

\mathrm{ \theta =\omega_0 t+\frac{1}{2} \alpha t^2 }

\mathrm{20 =0+\frac{1}{2} \times 2 \times t^2 }

\mathrm{t =\sqrt{20}=4.47 \mathrm{sec} }

Hence option 4 is correct.




 

Posted by

Irshad Anwar

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