Answer:
Explanation:
The options is not well presented
This are the options
A. θ = at³ + b
B. θ = at² + bt + c
C. θ = at² — b
D. θ = Sin(at)
So, we want to prove which of the following option have a constant angular acceleration I.e. does not depend on time
Now,
Angular acceleration can be determine using.
α = d²θ / dt²
α = θ''(t)
So, second deferential of each θ(t) will give the angular acceleration
A. θ = at³ + b
dθ/dt = 3at² + 0 = 3at²
d²θ/dt² = 6at
α = d²θ/dt² = 6at
The angular acceleration here still depend on time
B. θ = at² + bt + c
dθ/dt = 2at + b + 0 = 2at + b
d²θ/dt² = 2a + 0 = 2a
α = d²θ/dt² = 2a
Then, the angular acceleration here is constant is "a" is a constant and the angular acceleration is independent on time.
C. θ = at² —b
dθ/dt = 2at — 0 = 2at
d²θ/dt² = 2a
α = d²θ/dt² = 2a
Same as above in B. The angular acceleration here is constant is "a" is a constant and the angular acceleration is independent on time.
D. θ = Sin(at)
dθ/dt = aCos(at)
d²θ/dt² = —a²Sin(at) = —a²θ
α = d²θ/dt² = -a²θ
Since θ is not a constant, then, the angular acceleration is dependent on time and angular displacement
So,
The answer is B and C
This would be true!
When you subtract a positive number, it goes to the left of the number line. When you subtract a negative number, it goes to the left of the number line.
The thing that confuses most people is that the first number (when negative) continues to increase as a negative. It follows the same process, just different signs.
I hope this helps!
~cupcake
Answer:
The answer is: Increase the Number of Ropes/Pulleys.
Explanation:
A "pulley" <u><em>is an object that supports a particular movement such as supporting a force's change in direction (provided that the direction is applied to a cord). </em></u>This is regarded as a "simple machine" consisting of a wheel on an axle. This helps guide cables or ropes.
This machine is used <em>in order to decrease the amount of time it takes to do work, such as lifting of objects.</em>
Remember that "mechanical advantage"<u> refers to the ratio between the force applied to a machine and the force produced by it.</u> So, when it comes to pulleys, the mechanical advantage increases when the number of ropes are also increased. They are directly proportional. This goes the same way with increasing the number of pulleys. Once you increase the number of pulleys, the mechanical advantage also increases.
Acceleration of block = net force/mass = 10/2 = 5 m/s²
Answer:
He's 3 miles west of school.
Explanation:
He went 5 miles up and 5 miles down which means that he really didn't go up or down. In between that, he went 3 miles west so if the 5 milers don't count, this puts him at 3 miles west of school.
