a-spring-mass-system-is-used-to-simulate-the-motion-of-the-human-hamstring-the-m

Question

A spring-mass system is used to simulate the motion of the human hamstring. The hamstring executes a simple harmonic with an amplitude of 15 cm and an angular frequency of 6.28 rad/s. Calculate I) i) the maximum magnitude of the acceleration and ii) the speed at the equilibrium position; II) i) the acceleration and ii) speed at the position x=-7.5 cm; III) the time needed to go directly from x=0 cm to x=+7.5 cm IV) Which of the quantities requested previously can be determined using the conservation of mechanical energy?

Accepted Answer

I) i) a_x,max=5.9 m/s² II) i) v_max=0.94 m/s
II) a_x=2.96 m/s² ii) v=0.82 m/s
III) 0.08 s
IV) speed and acceleration

Answer

I) i) a_x,max=5.9 m/s² II) i) v_max=1.94 m/s
II) a_x=2.96 m/s² ii) v=1.82 m/s
III) 0.08 s
IV) speed and acceleration

Answer

I) i) a_x,max=3.9 m/s² II) i) v_max=0.94 m/s
II) a_x=1.95 m/s² ii) v=0.82 m/s
III) 0.18 s
IV) time and acceleration

Answer

I) i) a_x,max=5.9 m/s² II) i) v_max=0.94 m/s
II) a_x=2.96 m/s² ii) v=0.82 m/s
III) 0.18 s
IV) time and acceleration

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