A smooth slot lies along a diameter of a horizontal disc of radius R rotating counter-clockwise with constant angular speed ω. A small block of mass m is gently placed at r=R/2 in the slot at t=0 and is constrained to move only along the slot.

Options

• Option A

  $\frac{R}{4}$($e^{2\omega t}+e^{-2\omega t}$)

• Option B

  (R/2)cos(2ωt)

• Option C

  (R/2)cos(ωt)

• Option D

  $\frac{R}{4}$$\left(e^{\omega t}+e^{-\omega t}\right)$

Options

• Option A

  -mω²R cos(ωt)ĵ-mgk̂

• Option B

  mω²R sin(ωt)ĵ-mgk̂

• Option C

  ½mω²R[$e^{\omega t}-e^{-\omega t}$]$\hat{j}$ + mg$\hat{k}$

• Option D

  ½mω²R[$e^{2\omega t}-e^{-2\omega t}$]$\hat{j}$ + mg$\hat{k}$