For particle P revolving round the centre O with radius of circular path r and angular velocity, as shown in below figure, the projection of OP on the x-axis at time t is..................

(C) x(t)=r \sin \left(\omega t+\frac{\pi}{6}\right)

(D) x(t)=r \cos \left(\omega t-\frac{\pi}{6} \omega\right)

JEE Mains · Physics · STD 11 - Motion in plane

For particle \(P\) revolving round the centre \(O\) with radius of circular path \(r\) and angular velocity \(\omega\), as shown in below figure, the projection of \(OP\) on the \(x\)-axis at time \(t\) is \(.................\).

Pick an option to check your answer.

Verified Solution

Correct Answer

(A) \(x(t)=r \cos \left(\omega t+\frac{\pi}{6}\right)\)

Detailed explanation

\(x ( t )=r \cos \left(\omega t +30^{\circ}\right)\)

\(x ( t )=r \cos (\omega t +\pi / 6)\)

Same subject

List \(I\)	List \(II\)
\((A)\) Young's Modulus \((Y)\)	\((I)\) \(\left[ M L ^{-1} T ^{-1}\right]\)
\((B)\) Co-efficient of Viscosity \((\eta)\)	\((II)\) \(\left[ M L ^2 T ^{-1}\right]\)
\((C)\) Planck's Constant \((h)\)	\((III)\) \(\left[ M L ^{-1} T ^{-2}\right]\)
\((D)\) Work Function \((\phi)\)	\((IV)\) \(\left[ M L ^2 T ^{-2}\right]\)

From JEE Mains