Which of the following expressions gives the total kinetic energy of a uniform solid…

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

Which of the following expressions gives the total kinetic energy

K

of a uniform solid cylinder of mass

M

rolling without slipping with translational speed

v

? (The moment of inertia of a solid cylinder about its central axis is

I = \tfrac{1}{2}MR^{2}

.) (a)

K = \dfrac{1}{2} M v^{2}

(b)

K = \dfrac{3}{4} M v^{2}

(c)

K = \dfrac{2}{3} M v^{2}

(d)

K = \dfrac{7}{10} M v^{2}