Calculate the force, required of the "deltoid" muscle to hold up the outstretched arm shown in the figure . The total mass of the arm is 2.9 kg.
Sorry. No figure, no answer.
Do a torque balance. The answer will depend upon muscle angles and where they are attached.
To calculate the force required of the deltoid muscle to hold up the outstretched arm, we need to consider the weight of the arm as the force acting on it.
The weight of an object can be calculated using the formula W = m * g, where W is the weight, m is the mass, and g is the acceleration due to gravity.
In this case, the total mass of the arm is given as 2.9 kg. The value of acceleration due to gravity is typically taken as 9.8 m/s^2.
So, the weight of the arm (the force acting on it) can be calculated as:
W = m * g
W = 2.9 kg * 9.8 m/s^2
Now we can calculate the force required to hold up the arm. This force should be equal and opposite to the weight of the arm.
So, the force required to hold up the outstretched arm is approximately 28.42 Newtons (N).
To calculate the force required to hold up the outstretched arm, we need to consider the concept of equilibrium. In this case, since the arm is not moving, the force applied by the deltoid muscle must balance the force of gravity acting on the arm.
To find the force of gravity acting on the arm, we need to multiply the mass (2.9 kg) by the acceleration due to gravity (approximately 9.8 m/s^2):
Force of gravity = mass × acceleration due to gravity
Force of gravity = 2.9 kg × 9.8 m/s^2
Force of gravity = 28.42 N
Therefore, to hold up the outstretched arm, the deltoid muscle needs to apply a force of approximately 28.42 Newtons in the opposite direction of gravity.