For small deflections, T = 2*pi*sqrt(L / g) where T is period, L is length and g is gravity.
Setting the equations to the same period, 2*pi*sqrt(3.85 / g) = 2*pi*(L / (1/6 * g))
The equation reduces to 3.85 m = 6 * L so L = 0.642 m
chrsclrk · 7 years ago
To solve this problem it is necessary to apply the concepts related to Newton's second law and its derived expressions for angular and linear movements.
Our values are given by,
If we carry out summation of Torques on the pulley we will have to,
Where,
I = Inertia moment
Angular acceleration, which is equal in linear terms to a/r (acceleration and radius)
The moment of inertia for this object is given as
Replacing this equations we have know that
Or
Replacing our values we have that
Therefore the tension in the string between the pulley and the cart is 0.974 N
Answer:
24,000 m
Explanation:
First find the rocket's final position and velocity during the first phase in the y direction.
Given:
v₀ = 75 sin 53° m/s
t = 25 s
a = 25 sin 53° m/s²
Find: Δy and v
Δy = v₀ t + ½ at²
Δy = (75 sin 53° m/s) (25 s) + ½ (25 sin 53° m/s²) (25 s)²
Δy = 7736.8 m
v = at + v₀
v = (25 sin 53° m/s²) (25 s) + (75 sin 53° m/s)
v = 559.0 m/s
Next, find the final position of the rocket during the second phase (as a projectile).
Given:
v₀ = 559.0 m/s
v = 0 m/s
a = -9.8 m/s²
Find: Δy
v² = v₀² + 2aΔy
(0 m/s)² = (559.0 m/s)² + 2 (-9.8 m/s²) Δy
Δy = 15945.5 m
The total displacement is:
7736.8 m + 15945.5 m
23682.2 m
Rounded to two significant figures, the maximum altitude reached is 24,000 m.
Materialism and dualism are two different ideologies about mind and physical body.
<h3>
What is Materialism?</h3>
Materialism in philosophy of mind refers to the theory or idea that all facts are dependent upon physical processes, or even reducible to them.
<h3>What is dualism?</h3>
In the philosophy of mind, dualism is the theory that the mental and the physical are, in some sense, different kinds of thing from each other.
Learn more about theory here: brainly.com/question/11555274
