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

α = 3.27 rad/s²

No

Step-by-step 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 =( 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.