B. Extra text to get to 20 characters.
The acceleration of the mass down the plane is determined as (4mg sinθ)/(3mr²).
<h3>Conservation of angular momentum</h3>
The acceleration of the mass down the plane is determined by applying the principle of conservation of angular momentum.
Fr = Iα
where;
- F is weight of the object parallel to the plane
- r is the radius of the flywheel
- I is moment of inertia
- α is angular acceleration
(mg sinθ)r = Iα
(mg sinθ)r = I(ar)
(mg sinθ) = I(a)
![a = \frac{mg \times sin(\theta)}{I} \\\\a = \frac{mg \times sin(\theta)}{3mr^2/4} \\\\a = \frac{4mg \times sin(\theta)}{3mr^2}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bmg%20%5Ctimes%20sin%28%5Ctheta%29%7D%7BI%7D%20%5C%5C%5C%5Ca%20%3D%20%5Cfrac%7Bmg%20%5Ctimes%20sin%28%5Ctheta%29%7D%7B3mr%5E2%2F4%7D%20%5C%5C%5C%5Ca%20%3D%20%5Cfrac%7B4mg%20%5Ctimes%20sin%28%5Ctheta%29%7D%7B3mr%5E2%7D)
Thus, the acceleration of the mass down the plane is determined as (4mg sinθ)/(3mr²).
Learn more about acceleration here: brainly.com/question/14344386
Answer:
2) τ = F x torque increases, 3) troque decreases,
4) man approaches the pivot and the child must move away
5) Σ τ = 0
Explanation:
2) when the man moves away from the pivot his torque increases significantly, since his distance increases
τ = F x
τ = m g x
therefore the system rotates faster
3) when the child approaches the pivot, his troque decreases, because the distance decreases
τ = f x
therefore the system must spin slower
4) If we place the man and the child on the side of a scale, the movement must be the man approaches the pivot and the child must move away, so that the torque is the same and the system can reach a balance
5) the rotational equilibrium expression
Σ τ = 0
is the one that describes the equilibrium of a system with several forces
Answer:
Find the set of value of x Find the set of value of x which satisfy the inequality 2r2- 5x 2 18which satisfy the inequality 2r2- Find the set of value of x which satisfy the inequality 2r2- 5x 2 185x 2 18
Answer:
18 groups are in the modern periodic table