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? (II) (iv) (R)(III) (ii) (P)(I) (iii) (S)(II) (ii) (S)

Solution

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

Suggest corrections