6. Describe the motion of a particle of mass m, constrained to move on the surface of a cylinder of radius a (see figure below), directed towards the origin by a force which is proportional to the the distance of the particle from the origin. Show that particle is doing simple harmonic motion in the z- direction. Ignore the effect of gravitational force.

Q: There are three sets of thermometer table, the range are all of 0 ~ 800 °C, precision gr ades is 2.5...

A: Given:              Precision grades 2.5 ,2 ,1.5             Temperature 500°C

Q: this subject is all about physics.. Can you help me with the  questions 1 to 4 . thank you

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

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A: Given:-           a. Identify the coordinate axis to which the cylinder is parallel. b. Sketch the c...

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A: Part (a) Given: The current in the refrigerator is I=3.00 A. The voltage of refrigerator is V=110 V...

Q: Ocean waves are traveling to the east at 4.0 m/s with a distance of 20 m between crests. (a) With wh...

A: Given wave moving in east direction with speed c=4.0m/s And distance between the crests is λ=20m Thi...

Q: Given the vector A = (x2 − y2)i + 2xyj.(a) Find ∇ × A.(b) Evaluate RR (∇ × A) · dσ over a rectangle ...

A: Given: The vector A = (x2 − y2)i + 2xyj.

Q: A point particle of charge 2.5 nC and mass 3.25x10-3 kg is in a uniform electric field directed to t...

A: The charge of the particle is, q=2.5 nC or  25×10-10 C. The mass of the partice is, m=3.25×10-3 kg. ...

Q: A rectangular loop consists of 100 closely wrapped turns and has dimensions 0.40 m by 0.30 m. The lo...

A: We know that torque acting on the coil when placed in themagnetic field is τ = NIABsinθ Where, θ = a...

Q: Given: A 2 kg crate B is released from rest, falls a distance h = 0.5 m, and strikes plate P (3 kg m...

A: Given:-               mass of crate B = M u = The initial velocity of crate B   v = The final veloci...

Q: How can diamond ever be more stable than graphite, when it has less entropy?

A:

Q: Please give me the complete concept of this question. I also gave illustration to help get the answe...

A: Given, Two parallel loops of wire having common axis and current i

Q: Imagine a person standing naked in a room at 23.3°C. The walls are well insulated, so they also are ...

A: Answer:   a) The net rate at which heat radiated in the room is given as:   P=eσAT4-Ts4Where,e=emiss...

Q: A steel band exerts a horizontal force of 77.0 N on a tooth at point B in Figure P8.2. What is the t...

A:

Q: Shown are equipotential lines in a region of space. The equipotential lines are spaced by the same d...

A: Given:

Q: Two violin players tuning their instruments together hear 48 beats in 1 s. What is the frequency dif...

A: Given person hear 48 beats in 1 s.

Q: Find the moment of mass for solid about xy-plane in the first octant which bounded by xy-plane, xz-p...

A: The solid is bounded by x y-plane, x z-plane, z+y=2 and x=y in first octane. The density function is...

Q: A mass-spring system is initially compressed towards a wall and hold in equilibrium withthe help of ...

A: We can assume that it follows the Hooke's Law behaviour which is applicable only if mass of the spri...

Q: Radar is used to determine distances to various objects by measuring the round-trip time for an echo...

A: Given data: The echo time for the Venus is t=1000 s. The distance of the car is s=75.0 m. The dista...

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A: (a) The initial velocity of the electron is zero. Now when the electron will move in the electric fi...

Q: 11. (II) A 20.0-kg box rests on a table. (a) What is the weight of the box and the normal force acti...

A: Fig 1: FBD of block W = mg  

Q: The telescoping link is hinged at O, and its end A is given a constand upward velocity of 200 mm/s b...

A:

Q: Two identical billiard balls can move freely on a horizontal table.Ball B has a velocity 5 m/s as sh...

A: Let vA be the velocity of ball A and the velocity of ball B be vB. The velocity of ball B before im...

Q: A portable generator produces 2.5 kW ofmechanical work with an efficiency of 0.20 to supply electric...

A: Part-a The work produced by the generator W = 2.5 kW. The efficiency of the generator η = 0.2.  

Q: A rock is thrown from the top of a cliff (at y = H = 26.3 m) with a speed of 27.8 m/s at an angle = ...

A:

Q: A child spins rock on string in a horizontal circle with speed v with radius r. Draw a free body dia...

A:            Diagram:                                                 

Q: Categorize each of the following constraints as either scleronomic and rheonomic. i. A simple pendul...

A: Given information: Several constraints are given to find which one is scleronomic and which one is r...

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A: Concept: The conservation of potential energy to kinetic energy is using and the formula is given as...

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A:

Q: What is the magnitude of the rocket's acceleration as What rocket's maximum speed during the flight?...

A: Newton's Second Law of motion According to Newton's Second Law of motion, the rate of change of mome...

Q: Two charges, +q and ?q, are located in the x-y plane at points (0,+d/2) and (0,-d/2), respectively. ...

A: Given;

Q: q mass m. movesS in ene dimension Such that it has Lograngian the 12 ere v is differentiable funchio...

A: Euler Lagrangian equation is given byL= m2x2.12+mx2 v(x)-v2(x). we have ddt∂L∂x.-∂L∂x∂L∂x.=m2x4.12+m...

Q: We are usually not aware of the electric force acting betweentwo everyday objects because(a) the ele...

A: Given, Electric force around us