A wheel rolls on a horizontal path with uniform velocity. Prove that the velocity of any point on the circumference of the wheel with respect to its centre is equal to the velocity of the wheel. What will be the instantaneous velocity of the point on the wheel which touches the ground?
From the top of a tower, two particles are dropped at an interval of 2 s . Find the relative velocity and relative acceleration of the particles during the fall . Acceleration due to gravity =g cm*s^(-2) .
Show that the circles x^2+y^2-10 x+4y-20=0 and x^2+y^2+14 x-6y+22=0 touch each other. Find the coordinates of the point of contact and the equation of the common tangent at the point of contact.
If the instantaneous velocity of the particle is zero, will its instantaneous acceleration be necessarily zero?
The tangent to a circle and the radius passing through the point of contact are perpendicular to each other.
Prove that the tangent and the radius through the point of contact of a circle are perpendicular to each other.
If two tangents are drawn to a circle from a point outside it, then the line segment joining the point of contact and the exterior point are equal and they subtend equal angles at the centre.
If one of varying central conic (hyperbola) is fixed in magnitude and position, prove that the locus of the point of contact of a tangent drawn to it from a fixed point on the other axis is a parabola.
NCERT BANGLISH-SYSTEMS OF PARTICLES AND ROTATIONAL MOTION-EXERCISES (TRUE OR FALSE)
