A loop of rope is whirled at an angular velocity 100 rad s⁻¹, so that it becomes a taut circle of radius 1m. A kink develops in the whirling rope as shown in figure. Linear mass density of the rope is 0.1 kg m⁻¹. The speed of kink relative to rope (in m s⁻¹) is V. The value of V/20 is:

Question

G1 Physics · Accepted Answer

Step 1: Local transverse-wave speed is v = √(T/μ). Step 2: If T varies with position, use dt = dx/v and integrate; otherwise use time = length/speed. Step 3: Use force balance to obtain the required tension where needed. Final: 5.