A muscle cell (fiber) in a biceps is 20cm long and contains 1500 myofibrils arranged parallel to each other. Each myofibril is made up of many sarcomeres, organized in series, that behave as springs. A relaxed sarcomere is 2μm long. When contracted, the cell shortens to half its length and develops a force of 30mN. Each of those structures, the cell, myofibril and sarcomere, can be modeled as a spring. a) Calculate the spring constant of a muscle cell. b) The 1500 myofibrils in the muscle cell are arranged in parallel. Calculate the spring constant of a single myofibril.
can i please get help on this type of problem please. I would really apprecite it. i am having trouble with parts d-g.
A muscle cell (fiber) in a biceps is 20cm long and contains 1500 myofibrils arranged parallel to each other. Each myofibril is made up of many sarcomeres, organized in series, that behave as springs. A relaxed sarcomere is 2μm long. When contracted, the cell shortens to half its length and develops a force of 30mN. Each of those structures, the cell, myofibril and sarcomere, can be modeled as a spring.
a) Calculate the spring constant of a muscle cell.
b) The 1500 myofibrils in the muscle cell are arranged in parallel. Calculate the spring constant of a single myofibril.
c) The myofibrils are composed of sarcomeres that are arranged in series. Calculate the number of sarcomeres in each myofibril then calculate the spring constant of a single sarcomere.
d) When we shiver in the cold, our muscles oscillate at a frequency of 10Hz and with an amplitude of 2cm. Assume a muscle is a simple harmonic oscillator and calculate the mass of the load on that oscillator.
e) Calculate the mass of the load on a single myofiber
f) Calculate the mass of the load on a single sarcomere.
g) How would the period change if the amplitude were increased or decreased?
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