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Question

For the x-t equation of a particle in SHM along x-axis, answer the following questions using the columns. x=2+2cos(ωt) [Given v velocity, a acceleration ]
 Column I Column 2 Column 3(I)x=0(i)|v|=0(P)|a|=ω2(II)x=2(ii)|v|=3ω(Q)|a|=2ω2(III)x=3(iii)|v|=2ω(R)|a|=zero(IV)x=4(iv)|v|=ω(S)|a|=3ω2

Which is the correct combination for motion of the particle at t=(T6) where 'T' is the time period of SHM?


  1. (II) (iv) (R)
  2. (III) (ii) (P)
  3. (I) (iii) (S)
  4. (II) (ii) (S)


Solution

The correct option is B (III) (ii) (P)
x=2+2cosωt
v=2ωsinωt {v=dxdt}
a=2ω2(x2) {a=dvdt}
a=ω2(x2)
meanextremeat t=T6x=2x=0,4x=3|v|=2ω|v|=0|v|=3ω|a|=zero|a|=2ω2|a|=ω2

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