2. [20+5] A slight variation of a classic. A mass, m, is released from rest, on an inclined plane, as shown: m 0 But instead of contact friction, the mass is moving through a viscous oil with a linear coefficient of friction, b. That is: F₁ = -bu (a) [5] What is the net force on the mass the instant it is released? Force is a vector, be clear about the direction of your force. (b) [5] Write down a differential equation describing the velocity as a function of time. (c) [5] Assume the plane is arbitrarily long. What is the terminal velocity of the mass? (d) [5] Solve for v(t).
2. [20+5] A slight variation of a classic. A mass, m, is released from rest, on an inclined plane, as shown: m 0 But instead of contact friction, the mass is moving through a viscous oil with a linear coefficient of friction, b. That is: F₁ = -bu (a) [5] What is the net force on the mass the instant it is released? Force is a vector, be clear about the direction of your force. (b) [5] Write down a differential equation describing the velocity as a function of time. (c) [5] Assume the plane is arbitrarily long. What is the terminal velocity of the mass? (d) [5] Solve for v(t).
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I am stuck on how to obtain the differential equation, as I have a potential solution but do not know if it is correct.
![2. [20+5] A slight variation of a classic. A mass, m, is released from rest, on an inclined plane, as
shown:
m
0
But instead of contact friction, the mass is moving through a viscous oil with a linear coefficient of
friction, b. That is:
F₁ = -bu
(a) [5] What is the net force on the mass the instant it is released? Force is a vector, be clear about
the direction of your force.
(b) [5] Write down a differential equation describing the velocity as a function of time.
(c) [5] Assume the plane is arbitrarily long. What is the terminal velocity of the mass?
(d) [5] Solve for v(t).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdae99d5-a2da-4289-aca2-c389252ad54d%2Fdce9fe8b-42bf-49fa-98a2-afa7ec288fdf%2F5k0cj0x_processed.png&w=3840&q=75)
Transcribed Image Text:2. [20+5] A slight variation of a classic. A mass, m, is released from rest, on an inclined plane, as
shown:
m
0
But instead of contact friction, the mass is moving through a viscous oil with a linear coefficient of
friction, b. That is:
F₁ = -bu
(a) [5] What is the net force on the mass the instant it is released? Force is a vector, be clear about
the direction of your force.
(b) [5] Write down a differential equation describing the velocity as a function of time.
(c) [5] Assume the plane is arbitrarily long. What is the terminal velocity of the mass?
(d) [5] Solve for v(t).
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