![(2). A particle of unit mass is proj Biven by R kv2 where v is its velocity. Its initial velocity is u. [10 points ected vertically upwards in a medium whose resistance is (a). Using Newtons 2d Law and write out the equation of motion as a differential equation i terms of velocity and displacement. You must include an FBD as part of the solution. [ 3] (b). Prove that its velocity after rising through a distance s satisfies (c) Using part(b) show that when the particle reaches a maximum height h, then 2k](http://img.homeworklib.com/questions/0ab273c0-f17c-11eb-b999-e7ef3b0a4966.png?x-oss-process=image/resize,w_560)
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(2). A particle of unit mass is proj Biven by R kv2 where v is its...
(3) A body moving so that,at time t,it's mass is m, it's velocity is v and...
(3) A body moving so that,at time t,it's mass is m, it's velocity is v and the resultant force acting on the body is F. Suppose that at this instant, a particle of mass om and velocity u coaleces with the body so that, at time ot, the body has the mass m + Sm and the velocity v + öv. Prove that Fma (v- D-u a. A body with initial mass rn is projected vertically upwards with speed where...
Hi, I need the full worked solution (step-by-step with clear explanations where possible) for all parts of this question, please. The final answers to all the parts are given below the questions. Woul...
Hi,
I need the full worked solution (step-by-step with clear
explanations where possible) for all
parts of this question, please. The final answers to all
the parts are given below the questions. Would greatly appreciate
neat handwriting with clear steps. Thank you! :)
Question 6 A particle of mass m is projected vertically upwards with an initial speed vo in a fluid. The magnitude of the resistive force is kv, where v is the speed of the particle and k...
Hi, can you solve the question for me step by step, I will rate up if the working is correct. I will post the answer together with the question. Answer: Question 5 A particle of mass m rests on a s...
Hi, can you solve the question for me step by step, I will rate
up if the working is correct. I will post the answer together with
the question.
Answer:
Question 5 A particle of mass m rests on a smooth horizontal track. It is connected by two springs to fixed points at A and B, which are a distance 2lo apart as shown in Figure Q5. The left-hand spring has natural length 2lo and stiffness k, whilst the right-hand...
Pivet Pivor Figure 1 Mech 3. orm disk of mass M and radius R is suspended...
Pivet Pivor Figure 1 Mech 3. orm disk of mass M and radius R is suspended vertically from a pivot on its edge so hment 0o with t to the vertical, as shown in Figure 2 above, and released from rest. The rotational inert Figure 2 A unifoarmction, as shown in Figure 1 above. The disk is raised to an initial angular displacemsia of dhe disk abo on its that it is free to swing respect of mass is l...
A physic student sets out to experiment on the effect of drag forces on a ball...
A physic student sets out to experiment on the effect of drag forces on a ball of mass m by giving the ball an initial velocity nu_0 upwards and then downwards as describe below. In both cases, the ball experiences a force of air resistance whose magnitude is given by F = -k nu Where k is a positive constant. The positive direction for all vector quantities is taken to be upwards. Express all algebraic answers in terms of m....
#2. [Swinging Disk] A uniform circular disk of mass M and radius R is set swinging...
#2. [Swinging Disk] A uniform circular disk of mass M and radius R is set swinging side-to-side about a frictionless pivot P at its edge (a) What is the disk's moment of inertia about the pivot? (b) Write an expression for the net torque acting on the disk about the pivot when the disk is displaced to the right by angle θ CM (c) Write Newton's 2nd Law for Rotation for the disk when it is displaced as shown. Be...
Elementary Differential Equation Unit Step Function Problem Project 2 A Spring-Mass Event Problenm A mass of...
Elementary Differential Equation Unit Step Function Problem
Project 2 A Spring-Mass Event Problenm A mass of magnitude m is confined to one-dimensional motion between two springs on a frictionless horizontal surface, as shown in Figure 4.P.3. The mass, which is unattached to either spring, undergoes simple inertial motion whenever the distance from the origin of the center point of the mass, x, satisfies lxl < L. When x 2 L, the mass is in contact with the spring on the...
A mass of m kilograams (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixced to the ground. The mass moves vertic...
A mass of m kilograams (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixced to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The gravitational force is mg dowswards, where g- 9.8m is acceleration due to gravity, measured...
The term oscillator describes any system that has cyclic or near-cyclic behavior. The periodic motion of...
The term oscillator describes any system that has cyclic or near-cyclic behavior. The periodic motion of a planet or a pendulum, the alternating current in an electrical circuit, the vibrations of cesium atoms in an atomic clock are examples of oscillators. It turns out that many oscillators are governed by differential equations- equations that involve a function and its derivatives. In this project we explore solutions of a common oscillator equation. Imagine a block hanging vertically from a spring that...
In a hurry to digest this . Tks for the help (thumb up) 2. A mass of m kilograms (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to t...
In a hurry to digest this . Tks for the help (thumb up)
2. A mass of m kilograms (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixed to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The...
(3) A body moving so that,at time t,it's mass is m, it's velocity is v and the resultant force acting on the body is F. Suppose that at this instant, a particle of mass om and velocity u coaleces with the body so that, at time ot, the body has the mass m + Sm and the velocity v + öv. Prove that Fma (v- D-u a. A body with initial mass rn is projected vertically upwards with speed where...
Hi,
I need the full worked solution (step-by-step with clear
explanations where possible) for all
parts of this question, please. The final answers to all
the parts are given below the questions. Would greatly appreciate
neat handwriting with clear steps. Thank you! :)
Question 6 A particle of mass m is projected vertically upwards with an initial speed vo in a fluid. The magnitude of the resistive force is kv, where v is the speed of the particle and k...
Hi, can you solve the question for me step by step, I will rate
up if the working is correct. I will post the answer together with
the question.
Answer:
Question 5 A particle of mass m rests on a smooth horizontal track. It is connected by two springs to fixed points at A and B, which are a distance 2lo apart as shown in Figure Q5. The left-hand spring has natural length 2lo and stiffness k, whilst the right-hand...
Pivet Pivor Figure 1 Mech 3. orm disk of mass M and radius R is suspended vertically from a pivot on its edge so hment 0o with t to the vertical, as shown in Figure 2 above, and released from rest. The rotational inert Figure 2 A unifoarmction, as shown in Figure 1 above. The disk is raised to an initial angular displacemsia of dhe disk abo on its that it is free to swing respect of mass is l...
A physic student sets out to experiment on the effect of drag forces on a ball of mass m by giving the ball an initial velocity nu_0 upwards and then downwards as describe below. In both cases, the ball experiences a force of air resistance whose magnitude is given by F = -k nu Where k is a positive constant. The positive direction for all vector quantities is taken to be upwards. Express all algebraic answers in terms of m....
#2. [Swinging Disk] A uniform circular disk of mass M and radius R is set swinging side-to-side about a frictionless pivot P at its edge (a) What is the disk's moment of inertia about the pivot? (b) Write an expression for the net torque acting on the disk about the pivot when the disk is displaced to the right by angle θ CM (c) Write Newton's 2nd Law for Rotation for the disk when it is displaced as shown. Be...
Elementary Differential Equation Unit Step Function Problem
Project 2 A Spring-Mass Event Problenm A mass of magnitude m is confined to one-dimensional motion between two springs on a frictionless horizontal surface, as shown in Figure 4.P.3. The mass, which is unattached to either spring, undergoes simple inertial motion whenever the distance from the origin of the center point of the mass, x, satisfies lxl < L. When x 2 L, the mass is in contact with the spring on the...
A mass of m kilograams (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixced to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The gravitational force is mg dowswards, where g- 9.8m is acceleration due to gravity, measured...
The term oscillator describes any system that has cyclic or near-cyclic behavior. The periodic motion of a planet or a pendulum, the alternating current in an electrical circuit, the vibrations of cesium atoms in an atomic clock are examples of oscillators. It turns out that many oscillators are governed by differential equations- equations that involve a function and its derivatives. In this project we explore solutions of a common oscillator equation. Imagine a block hanging vertically from a spring that...
In a hurry to digest this . Tks for the help (thumb up)
2. A mass of m kilograms (kg) is mounted on top of a vertical spring. The spring is L metres long when disengaged and the end not attached to the mass is fixed to the ground. The mass moves vertically up and down, acted on by gravity, the restoring force T of the spring and the damping force R due to friction: see the diagram below The...
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