Your upper arm is horizontal and your forearm is vertical with a 0.010-kg dart i

Question

Your upper arm is horizontal and your forearm is vertical with a 0.010-kg dart in your hand (Figure 1) . When your triceps muscle contracts, your forearm initially swings forward with a rotational acceleration of 35 rad/s2. The rotational inertia of your forearm is 0.12 kgm2 and the dart is 0.38 m from your elbow joint. You triceps muscle attaches 0.03 m from your elbow joint.

Determine the force that your triceps muscle exerts on your forearm during this initial part of the throw.

Figure1 (picture) https://www.google.com/search?q=Your+upper+arm+is+horizontal+and+your+forearm+is+vertical+with+a+0.010-kg+dart+in+your+hand+(Figure+1)+.+When+your+triceps+muscle+contracts,+your+forearm+initially+swings+forward+with+a+rotational+acceleration+of+35+rad/s2.+The+rotational+inertia+of+your+forearm+is+0.12+kg%E2%8B%85m2+and+the+dart+is+0.38+m+from+your+elbow+joint.+You+triceps+muscle+attaches+0.03+m+from+your+elbow+joint.&biw=1386&bih=733&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjY-KHVq6rKAhVK6GMKHW5DB7kQ_AUIBygB#imgrc=RIzB8-nqqQnEnM%3A

Explanation / Answer

Inertia of dort = I = m*r2 = 0.00144 kg-m2

T = (I1 + I2) * alpha

d*F = (I1 + I2) * alpha

F = (I1 + I2)/d

F = 4.25/0.03 = 141.68 N

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