Question

An unhappy mouse of mass m₀, moving on the end of a spring of spring constant p is acted upon by a damping force F_x = - bv_x. For what value of b the motion is critically damped.

• A. b =
• B. b = $2 \sqrt { \mathrm { pm } _ { 0 } }$
• C. b =
• D. b =

Answer 1

Answer: (B)

b = $2 \sqrt { \mathrm { pm } _ { 0 } }$

Answer 2

or b = 2 $\sqrt { \mathrm { pm } _ { 0 } }$ .