A block of mass m slides down from the top of an inclined plane. The inclined plane has an angle of inclination θ. Get equation motion of the block when using Newtonian and Lagrangian methods:  a. Perfect smooth surface!  b. Rough inclined plane surface with friction coefficient µ!

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A: Mass of stuntman (m) = 55 kg Spring coefficient (k) = 266 N/m Compression in spring (x) = 5 m Need…

Q: Problem 2 Consider the elastic pendulum shown in the figure below. The pendulum con- sists of a bob…

A: Given:-       (1)                  An elastic  pendulum is also called swinging pendulum. When a…

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A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…

Q: 1. Consider the system with T = ² m(r² + r²ġ² + ż²) and U = A. B. C. D. mgz where z = cr²,8 = wt, by…

A: We have given a kinetic energy term and a potential energy term of the system then we can write…

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Q: 1.a Derive the formulae for the geometric constraints using the horizontal and vertical coordinates…

A: 1.a The geometric constraints of the system is given by the equationx1^2 + y1^2 = R^2x2^2 + y2^2 =…

Q: 5. A mass attached to a string of length L is released from rest from an initial horizontal…

A: When the mass falls down, the potential energy (V = mgL) is converted into kinetic energy (T1),…

Q: Now, three masses (m, = 4 kg, m2 = 12 kg and m3 = 8) hang from three identical springs in a…

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Q: 8. A 900 kg car traveling at a speed of 10 m/s suddenly runs out of gas while approaching the valley…

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A: Aim : To measure acceleration due to gravity using helical spring.

Q: your answers to three significant figures. Determine: ▶ Part F Part G

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Q: A vertical spring has a length of 0.175 m when a 0.225 kg mass hangs from it, and a length of 0.725…

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Q: Problem 3 Compute the reaction forces in B and D. Hint: in this case, since you have to determine…

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Q: 4) Now the elevator is moving downward with a velocity of v = -2.1 m/s but accelerating upward with…

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Q: , In Lagrangian mechanics, one needs to know the number of degrees of freedom before solving a…

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Q: 1) A spring has a natural length of 7 cm. One stretched by a 249 N force, the length of the spring…

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Q: Choose the correct number below. The Lagrangian of a particle of mass m moving in one dimension is…

A: The Lagrangian of the system is given as;

Q: Juan's teacher gives him three objects of equal volume and shape, but of different material, and…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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Q: A car is moving along the ground at 20m/s with a mass of 1200kg. If µg=0.8 and H,=0.7: a. What…

A: Given Data: Car velocity, v=20 m/s Car mass, m=1200 kg Friction coefficients are μs=0.8 and μk=0.7

Q: PROBLEM 01 PROBLEM 02 The crate shown has a mass of m = 15 kg and is pulled by the rope as shown. If…

A: FBD                  Coefficeinet of static friction us=0.2                          Coefficeinet…

Q: Some shape with mass m is connected on the end of string of length L and spinning with angular speed…

A: We can find answers to the above questions by identifying the forces acting on the mass. The details…

Q: A desk of mass 30 kg slides without any influence of external forces. Calculate the reactions at the…

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Q: A 10kg mass suspended at a height of 10 meters above a massless platform attached to a vertical…

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Q: cle of miss fe has a pros Choose the generalized coordinates x and and find its equation of motion…

A: We’ll answer the second question since the exact one wasn’t specified. Please submit a new question…

Q: QB2b. Calculate the frequency in Hz of the train wheel of radius R=840 mm if the train is moving…

A: Approach to solving the question:Please see attached photos for the detailed solutions. Thank you.…

Q: A .20 kg ball is attached to a vertical spring. The spring constant is 28N/m. the ball supported…

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Q: Consider the dynamical system. x' = -ax + xy y' = 1 - By - x2 Show that the system has a unique…

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Q: 1. A9 kg collar slides without friction along a vertical rod as 200 mm shown. The spring attached to…

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Q: in a conical pendulum shown below, the string of length 2 m can withstand a maximum force of 100 N.…

A: Given:         Length of string(l) = 2m        Maximum tension in the string(Tmax) = 100 N…

Q: axis shown in the figure, point B has its maximum velocity v. How large is then the reaction force…

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Q: 2. A 1.0 kg block initially at rest falls vertically and lands on a massless spring. Assume that the…

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Q: A pendulum consists of a mass m suspended by a massless spring with un-extended length b and spring…

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Q: Ex. 3: Consider the below forces, which depend on the position of the particle. Imagine a mass (m)…

A: Disclaimer: “Since you have asked posted a question with multiple sub-parts, we will solve the first…