A waiter holds two plates of food in one hand. Hiss forearm has a mass of 2.2 kg

Question

A waiter holds two plates of food in one hand. Hiss forearm has a mass of 2.2 kg and the center of mass of his forearm is located 13 cm from his elbow joint. The center mass of the two plates is located 37cm from his elbow joint and the total mass of the two plates is 1.1 kg. His Bicep is attached to the bones of his forearm 3.5 cm from his elbow joint.

1) What is the torque produced by the mass of the two plates?

2) What is the torque produced by the mass of the waiter's forearm?

3) What forces must be exerted by the waiter's biceps muscle to ensure that the plates and forearm are motionless?

(note:please answer all of the questions above and number the answers. please show how you got the answer) thank you

Explanation / Answer

1)Torque due to plates=mgr=1.1*9.8*0.37=3.99 Nm

2)Torque due to forearm=2.2*9.8*0.13=2.80 Nm

3)Let the force required by the biceps be F

Then F*0.035=3.99+2.80

F=194 N

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