Answer:
a) see attached, a = g sin θ
b)
c) v = √(2gL (1-cos θ))
Explanation:
In the attached we can see the forces on the sphere, which are the attention of the bar that is perpendicular to the movement and the weight of the sphere that is vertical at all times. To solve this problem, a reference system is created with one axis parallel to the bar and the other perpendicular to the rod, the weight of decomposing in this reference system and the linear acceleration is given by
Wₓ = m a
W sin θ = m a
a = g sin θ
b) The diagram is the same, the only thing that changes is the angle that is less
θ' = 9/2 θ
c) At this point the weight and the force of the bar are in the same line of action, so that at linear acceleration it is zero, even when the pendulum has velocity v, so it follows its path.
The easiest way to find linear speed is to use conservation of energy
Highest point
Em₀ = mg h = mg L (1-cos tea)
Lowest point
Emf = K = ½ m v²
Em₀ = Emf
g L (1-cos θ) = v² / 2
v = √(2gL (1-cos θ))
As we know that friction force on box is given by

here we know that

here we have
m = 12 kg

so now we have

now we will have


so it required minimum 49 N(approx) force to move the block
Answer:
A key result is an important output that then becomes an input to the next key result area, or to the next person. For example, in selling, a key result area is prospecting—finding new, qualified, and interested prospects to talk to about your product or service.
hope this helps!
Explanation:
1.) Sexual reproduction increases genetic diversity in many species of plants and animals because of meiosis. During meiosis, crossing-over occurs and changes up genes in the chromosomes. Each gamete (sperm and egg), have half the chromosomes (23) and combine to have 46 chromosomes. This is how you get traits from your parents that make you different.
2.) Asexual reproduction occurs when a single parent copies its own DNA and genes and grows an identical version or clone of itself.