3. A prosthetic knee joint allows the lower limb to oscillate with Simple Harmonic Motion in the absence of damping with total mechanical energy 1.00 J, frequency 3.366 Hz and a maximum speed of 40 cm/s. Find: (a) the mass of the lower limb; (b) the spring constant (stiffness) of the joint; (c) the amplitude of oscillation. (d) If damping is now added, state the effect, if any, on each of the quantities (a), (b), and (c) respectively (it is not necessary to show calculation).

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
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3. A prosthetic knee joint allows the lower limb to oscillate with Simple Harmonic Motion in the absence of damping with total
mechanical energy 1.00 J, frequency 3.366 Hz and a maximum speed of 40 cm/s.
Find:
(a) the mass of the lower limb;
(b) the spring constant (stiffness) of the joint;
(c) the amplitude of oscillation.
(d) If damping is now added, state the effect, if any, on each of the quantities (a), (b), and (c) respectively (it is not necessary to
show calculation).
Transcribed Image Text:3. A prosthetic knee joint allows the lower limb to oscillate with Simple Harmonic Motion in the absence of damping with total mechanical energy 1.00 J, frequency 3.366 Hz and a maximum speed of 40 cm/s. Find: (a) the mass of the lower limb; (b) the spring constant (stiffness) of the joint; (c) the amplitude of oscillation. (d) If damping is now added, state the effect, if any, on each of the quantities (a), (b), and (c) respectively (it is not necessary to show calculation).
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