Two equal small balls each of mass M are joined by a massless rigid rod of length L. A transverse impulse J=MV acts at one end as in the figure. If resultant angular speed is KV/L, find K.
Physics · Mixed Chapter
JEE Main Practice

Question

Two equal small balls each of mass M are joined by a massless rigid rod of length L. A transverse impulse J=MV acts at one end as in the figure. If resultant angular speed is KV/L, find K.

G1 Physics · Accepted Answer

Step 1: Centre of mass lies at rod midpoint, L/2 from impulse point. Step 2: Angular impulse about centre is J(L/2)=MVL/2. Step 3: Moment of inertia about centre is I=2M(L/2)²=ML²/2. Step 4: Angular velocity ω=[MVL/2]/[ML²/2]=V/L. Thus K=1.