Q. 54 : The displacement of a particle varies according to the relation x = 4 (cos ot + sin nt). The amplitude of the particle is : - 4 (b) 4 2 (c) 4 (a) (d) 8
Q: Determine the magnitude of Q if the particle is in equilibrium and if θ =30.4°, P = 276 , a=7, and…
A: Concept: Given a=7 b=15 P=276 θ=30.4 Here we will consider angle made by F with horizontal axis be ϕ
Q: A particle of mass m is in a one-dimensional potential field, where its potential energy depends on…
A: Ux=U01- cosαxFx=dUxdx=dU01- cosαxdx=U0α sinαx we know for SHM At equilibrium…
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A: The required solution is following.
Q: If C→ = A→ + B→ can C = 0? Can C < 0? For each question, show how or explain why not.
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Q: A body of mass m is suspended by a rod of length L that pivots without friction (as shown). The mass…
A: a. Draw the free-body diagram of the mass m.
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Q: A small bob is attached to a cord of length 1.2 m and is released from rest when 0A= 5°. Knowing…
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Q: To treat the motion of an object due to some potential energy U(x) as simple harmonic motion, which…
A: For simple harmonic motion if motion of object is treated due to potential energy is that case when…
Q: In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the…
A: The vectors are found to be A→=0.88i^+1.05j^+0.94k^B→=0.95i^-0.91j^-0.86k^ Suppose that the angle…
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Q: The motion of a particle is given by x(t) = (24cm)cos(10t) where t is in s. what is the first time…
A: Givenx(t)=(24 cm)cos(10 t)velocity, v(t)=dxdt =-(240 cm)sin(10 t)maximum…
Q: The net x-force on a 1-kg oscillating object moving along the x axis is Fx = −b(x − a2x3), where b =…
A: (given) Fx=-b(x-a2x3) b= 123 x a=4 y The unit of "a2x3"should be "m" a2[m23] = m…
Q: Consider a particle with total energy E is oscillating in a potential U (x) = A|x|" with A>0 and n>0…
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Q: The average of a function from t= a to t= b is given by: average = So f(t) dt b-a- Compute the…
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Q: In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the…
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Q: Ex. 17 Show that the velocity of a particle performing S.H.M. is half the maximum V3 of its velocity…
A: To show that-(velocity of particle)=12(maximum velocity)When, x=32a
Q: A sphere moves in simple harmonic motion with a frequency of 5.00 Hz and an amplitude of 3.30 cm.…
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Q: M 2 2.5 -3 -4 0 0.5 1 1.5 Mass of the oscillator is 1.2 kg. What is the oscillator's amplitude (with…
A: Amplitude is represented by the black line on the figure hence by reading off the values from the…
Q: What is the angle between vectors u=−8i+j+12k and v=−6i+4j+2k. Select one: A. 22∘ B. 45∘ C. 150∘ D.…
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Q: In the figure, the shadow moves in simple harmonic motion. Where on the path of the shadow is the…
A: “Since you have posted multiple questions, we will provide the solution only to the first question…
Q: The plane curve described by the parametric equations x = 3 cos t and y = 3 sin t, 0≤ t < 2π, has…
A: The solution is given below:
Q: The displacement of a particle varies according to the relation x = 4 (cos wt + sin ît). The…
A: We need to compute-Amplitude of motion (A)=?The data given as-X=4 (cos ωt+sin πt)
Q: Determine the magnitude of the velocity of point C. Express your answer to three significant figures…
A: Here it is given that right circular cone rotates about z-axis. ω1=4.2 rad/sUsing:v=ω×ra=α×r+ω×v
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Q: A simple pendulum clock (no air resistance) has a length of 0.75 meters. The pendulum mass is…
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Q: A particle is slightly displaced from rest in its position of equilibrium at the highest point of a…
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Q: The end of a nanoscale cantilever used for weighing DNA molecules oscillates at 8.8 MHz with an…
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Q: 02.1: Knowing that the distance AB is 250 mm determine the maximum moment about ( B) which can be…
A: AB = 250 mm = 0.25 m Force , F = 150 N θ = 20° To find = Maximum Moment at B , and it's direction .
Q: 10. If Q is Hermitian, then: A. (B|Q a) = Q(Bla) B. Q=00 C. Q = Q-¹1 D. (BQ a) = (0 Bla)
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Q: The bob of a simple pendulum is displaced by an initial angle 0(0) = -Omax/2 and is given an initial…
A: SIMPLE HARMONIC MOTION
Q: I've never done this before, so I'm confused as to what it means. I know that A is the amplitude, t…
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Q: An oscillator moves back and forth between the 10 cm and 50 cm marks on a meter stick. What is the…
A: An oscillator moves back and forth between equilibrium point (EP) With equal amplitude on both…
Q: A particle of mass m is in a potential given by 2. V (r)=- a --+ ar 3r where a and ro are positive…
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Q: A mass on a spring oscillates with an angular frequency w, while on the surface of the Earth. This…
A: Given data: The mass is m. Angular frequency is ω0.
Q: Which of the following are Hermitian. (A) (B)-1 (C)-th (D) th d² Select correct choice: (a) A and C…
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Q: Aft=0, the Isimple penddidI IS displaced to the right by an angle 8_0 = +0_max/√2 and is given an…
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Q: straight line is always acted upon by a force from the centre of the path and directed and maximum…
A: To find-(1) Maximum velocity (V)=?(2) Maximum acceleration (a)=?Given-M=8 gma=5 cmk=128 F=128 xwhere…
Q: A sphere moves in simple harmonic motion with a frequency of 1.20 Hz and an amplitude of 5.20 cm.…
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Q: A particle moves that is defined by the parametric equations x = 3t² - 1 y = t³ - 3t² + t - 3 (where…
A: given x=3t2-1 y=t3-3t2+t-3 required radial component of velocity (Vr)=? transverse component of…
Q: A particle moves in simple harmonic motion with a frequency of 4.20 Hz and an amplitude of 4.00 cm.…
A: Solution Given dataFrequency f=4.20HzAmplitude A=4.0cmThrough what total distance does the…
Q: Problem 19: While visiting the Albert Michelson exhibit at Clark University, you notice that a…
A: (a) The frequency of oscillation The frequency is f=1T where T is the time period. Substitute 6.5…
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