Kinematics of Circular Motion
PHXI04:MOTION IN A PLANE

361874 A car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statement about the velocity of the car is true?

1 Magnitude of velocity is constant.
2 Both magnitude and direction of velocity change.
3 Velocity is directed towards the centre of the circle.
4 Magnitude is directed towards the centre of the circle.
PHXI04:MOTION IN A PLANE

361875 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 \(O P\) on the \(x\)-axis at time \(t\) is
supporting img

1 \(x(t)=r \cos \left(\omega t-\dfrac{\pi}{6} \omega\right)\)
2 \(x(t)=r \cos \left(\omega t+\dfrac{\pi}{6}\right)\)
3 \(x(t)=r \sin \left(\omega t+\dfrac{\pi}{6}\right)\)
4 \(x(t)=r \cos (\omega t)\)
PHXI04:MOTION IN A PLANE

361876 Two particles \(A\) and \(B\) are moving in uniform circular motion in concentric circles of radii \({r_A}\) and \({r_B}\) with speed \({v_A}\) and \({v_B}\) respectively. Their time period of rotation is the same. The ratio of angular speed of \(A\) to that of \(B\) will be :

1 \({r_A}:{r_B}\)
2 \({v_A}:{v_B}\)
3 \({r_B}:{r_A}\)
4 \(1:1\)
PHXI04:MOTION IN A PLANE

361877 In a uniform circular motion, the velocity vector and acceleration vector are

1 Perpendicular to each other
2 Same direction
3 Opposite direction
4 Not related to each other
PHXI04:MOTION IN A PLANE

361874 A car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statement about the velocity of the car is true?

1 Magnitude of velocity is constant.
2 Both magnitude and direction of velocity change.
3 Velocity is directed towards the centre of the circle.
4 Magnitude is directed towards the centre of the circle.
PHXI04:MOTION IN A PLANE

361875 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 \(O P\) on the \(x\)-axis at time \(t\) is
supporting img

1 \(x(t)=r \cos \left(\omega t-\dfrac{\pi}{6} \omega\right)\)
2 \(x(t)=r \cos \left(\omega t+\dfrac{\pi}{6}\right)\)
3 \(x(t)=r \sin \left(\omega t+\dfrac{\pi}{6}\right)\)
4 \(x(t)=r \cos (\omega t)\)
PHXI04:MOTION IN A PLANE

361876 Two particles \(A\) and \(B\) are moving in uniform circular motion in concentric circles of radii \({r_A}\) and \({r_B}\) with speed \({v_A}\) and \({v_B}\) respectively. Their time period of rotation is the same. The ratio of angular speed of \(A\) to that of \(B\) will be :

1 \({r_A}:{r_B}\)
2 \({v_A}:{v_B}\)
3 \({r_B}:{r_A}\)
4 \(1:1\)
PHXI04:MOTION IN A PLANE

361877 In a uniform circular motion, the velocity vector and acceleration vector are

1 Perpendicular to each other
2 Same direction
3 Opposite direction
4 Not related to each other
PHXI04:MOTION IN A PLANE

361874 A car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statement about the velocity of the car is true?

1 Magnitude of velocity is constant.
2 Both magnitude and direction of velocity change.
3 Velocity is directed towards the centre of the circle.
4 Magnitude is directed towards the centre of the circle.
PHXI04:MOTION IN A PLANE

361875 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 \(O P\) on the \(x\)-axis at time \(t\) is
supporting img

1 \(x(t)=r \cos \left(\omega t-\dfrac{\pi}{6} \omega\right)\)
2 \(x(t)=r \cos \left(\omega t+\dfrac{\pi}{6}\right)\)
3 \(x(t)=r \sin \left(\omega t+\dfrac{\pi}{6}\right)\)
4 \(x(t)=r \cos (\omega t)\)
PHXI04:MOTION IN A PLANE

361876 Two particles \(A\) and \(B\) are moving in uniform circular motion in concentric circles of radii \({r_A}\) and \({r_B}\) with speed \({v_A}\) and \({v_B}\) respectively. Their time period of rotation is the same. The ratio of angular speed of \(A\) to that of \(B\) will be :

1 \({r_A}:{r_B}\)
2 \({v_A}:{v_B}\)
3 \({r_B}:{r_A}\)
4 \(1:1\)
PHXI04:MOTION IN A PLANE

361877 In a uniform circular motion, the velocity vector and acceleration vector are

1 Perpendicular to each other
2 Same direction
3 Opposite direction
4 Not related to each other
PHXI04:MOTION IN A PLANE

361874 A car moves on a circular road. It describes equal angles about the centre in equal intervals of time. Which of the following statement about the velocity of the car is true?

1 Magnitude of velocity is constant.
2 Both magnitude and direction of velocity change.
3 Velocity is directed towards the centre of the circle.
4 Magnitude is directed towards the centre of the circle.
PHXI04:MOTION IN A PLANE

361875 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 \(O P\) on the \(x\)-axis at time \(t\) is
supporting img

1 \(x(t)=r \cos \left(\omega t-\dfrac{\pi}{6} \omega\right)\)
2 \(x(t)=r \cos \left(\omega t+\dfrac{\pi}{6}\right)\)
3 \(x(t)=r \sin \left(\omega t+\dfrac{\pi}{6}\right)\)
4 \(x(t)=r \cos (\omega t)\)
PHXI04:MOTION IN A PLANE

361876 Two particles \(A\) and \(B\) are moving in uniform circular motion in concentric circles of radii \({r_A}\) and \({r_B}\) with speed \({v_A}\) and \({v_B}\) respectively. Their time period of rotation is the same. The ratio of angular speed of \(A\) to that of \(B\) will be :

1 \({r_A}:{r_B}\)
2 \({v_A}:{v_B}\)
3 \({r_B}:{r_A}\)
4 \(1:1\)
PHXI04:MOTION IN A PLANE

361877 In a uniform circular motion, the velocity vector and acceleration vector are

1 Perpendicular to each other
2 Same direction
3 Opposite direction
4 Not related to each other