Answer:
sorry but I can understand the question
Answer:
0.191 s
Explanation:
The distance from the center of the cube to the upper corner is r = d/√2.
When the cube is rotated an angle θ, the spring is stretched a distance of r sin θ. The new vertical distance from the center to the corner is r cos θ.
Sum of the torques:
∑τ = Iα
Fr cos θ = Iα
(k r sin θ) r cos θ = Iα
kr² sin θ cos θ = Iα
k (d²/2) sin θ cos θ = Iα
For a cube rotating about its center, I = ⅙ md².
k (d²/2) sin θ cos θ = ⅙ md² α
3k sin θ cos θ = mα
3/2 k sin(2θ) = mα
For small values of θ, sin θ ≈ θ.
3/2 k (2θ) = mα
α = (3k/m) θ
d²θ/dt² = (3k/m) θ
For this differential equation, the coefficient is the square of the angular frequency, ω².
ω² = 3k/m
ω = √(3k/m)
The period is:
T = 2π / ω
T = 2π √(m/(3k))
Given m = 2.50 kg and k = 900 N/m:
T = 2π √(2.50 kg / (3 × 900 N/m))
T = 0.191 s
The period is 0.191 seconds.
Answer:
a) F = 64.30 N, b) θ = 121.4º
Explanation:
Forces are vector quantities so one of the best methods to add them is to decompose each force and add the components
let's use trigonometry
Force F1
sin 170 = F_{1y} / F₁
cos 170 = F₁ₓ / F₁
F_{1y} = F₁ sin 170
F₁ₓ = F₁ cos 170
F_{1y} = 100 sin 170 = 17.36 N
F₁ₓ = 100 cos 170 = -98.48 N
Force F2
sin 30 = F_{2y} / F₂
cos 30 = F₂ₓ / F₂
F_{2y} = F₂ sin 30
F₂ₓ = F₂ cos 30
F_{2y} = 75 sin 30 = 37.5 N
F₂ₓ = 75 cos 30 = 64.95 N
the resultant force is
X axis
Fₓ = F₁ₓ + F₂ₓ
Fₓ = -98.48 +64.95
Fₓ = -33.53 N
Y axis
F_y = F_{1y} + F_{2y}
F_y = 17.36 + 37.5
F_y = 54.86 N
a) the magnitude of the resultant vector
let's use Pythagoras' theorem
F = Ra Fx ^ 2 + Fy²
F = Ra 33.53² + 54.86²
F = 64.30 N
b) the direction of the resultant
let's use trigonometry
tan θ’= F_y / Fₓ
θ'= 
θ'= tan⁻¹ (54.86 / (33.53)
θ’= 58.6º
this angle is in the second quadrant
The angle measured from the positive side of the x-axis is
θ = 180 -θ'
θ = 180- 58.6
θ = 121.4º
Primate B mystery primate is a biped.
The characteristics are:
- The vast majority of primates live in trees (Notable exceptions are humans and gorillas).
- The majority of primates have upright upper bodies and occasionally walk on two feet (Humans are erect and always exhibit bipedalism).
- All primates have smaller noses and matching olfactory brain regions (except Lemurs).
- Compared to other mammals, primates have enormous brains for their size. Stereoscopic vision, hand-eye coordination, and manual dexterity are all governed by the brain's enlarged regions.
- Considering the size of the animal, long gestations
- Primate sociality is rather high in general.
- The majority of primates are nocturnal.
- The highly enjoyable action of grooming is shared by all highly evolved primates, including humans.
<h3>Primate </h3>
Lemurs, lorises, tarsiers, monkeys, apes, and humans are all included in the biological order called primates. Class Mammalian of the phylum Vertebrate includes creatures with qualities that have evolved recently in the taxonomic classification of the animal kingdom. 19 subtaxa known as orders have been added to the Mammalia classification. Primates are one of such groups, which contains eutherian animals like monkeys and apes. As a result, during a period of 30 million years, new world and old world monkeys underwent different adaptive radiations and were reproductively isolated. The Oligocene epoch saw the evolution of prosimians. About 30 million years ago, all currently extant primates underwent evolution.
Which mystery primate is a biped? list the characteristics you choose to justify your answer
Learn more about primate here:
brainly.com/question/16671781
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