Question

Suppose you are taking a walk one day when you see a tree branch snap at its base and begin to rotate downward with the break near the trunk of the tree as a pivot point. You estimate the length of the branch to be about 3 meters. Estimate the initial angular acceleration of the branch in rad/s2. Can you estimate the mass of the tree branch from this information? Why or why not?

Answer 1

Answer:

α = 3.27 rad/s²

No

Explanation:

Given that

 L= 3 m

Lets take mass of tree = m kg

The torque to mass m =  m g .L

The mass moment of inertia of tree ,I

I = mL² kg.m²

We know that

τ = I α

 m g .L = mL² .α

α= g/L

Now by putting the value

$\alpha =\dfrac{ 9.81}{ 3}\ rad/s^2$

α = 3.27 rad/s²

No we can find the mass of the from the above information because angular acceleration is not depend on the mass of tree.