This problem will require you to make some assumptions, so be sure that your assumptions are clear. You have dinner reservations
1 answer:
You might be interested in
Answer:
A ratio of equivalent units
Explanation:
A conversion factor is a ratio of equivalent units and depends on which units are to be converted.
For example we want to convert 275 [mm] to inches, so we have to find the right conversion factor to allow us to work that conversion.
275 [mm] = inches = ?
In this case the ratio is 1/25.4 = 0.039 [in/mm]
Answer:
The mass of the solid cylinder is
Explanation:
From the question we are told that
The radius of the grinding wheel is
The tangential force is
The angular acceleration is
The torque experienced by the wheel is mathematically represented as
Where I is the moment of inertia
The torque experienced by the wheel can also be mathematically represented as
substituting values
So
So
This moment of inertia can be mathematically evaluated as
substituting values
=>
Answer:
A) d = v² / (2g (μ cos θ + syn θ) B) μ = tan θ
Explanation:
Part A
We can work this part with the work and energy theorem, where the work of the friction forces is equal to the energy change of the system.
The work is
W = fr .d
With the force of friction it opposes the movement
W = - fr d
The energy at the lowest point is
Em₀ = K = ½ m v²
The energy at the highest point
= U = m g y
The height (y) can be found by trigonometry
sin θ = y / d
y = d sin θ
W = –Em₀
-fr d = mg d sin θ - ½ m v²
The equation for the force of friction is
fr = μ N
From Newton's second law
N - W cos Te = 0
We replace
-μ (mg cos θ) d - mg d sin θ = - ½ m v²
d g (μ cos θ + sin θ) = ½ v²
d = v² / (2g (μ cos θ + syn θ)
Part B
The block is stopped, what is the Angle tet, let's use Newton's second law
fr - W sin θ = 0 ⇒ fr = W sin θ
N - W cos θ= 0 ⇒ N = w cos θ
fr = μ N
μ (mg cos θ) = mg syn θ
μ = syn θ / cos θ
μ = tan θ