The displacement of a particle executing SHM is given by : y = 5 sin 4t + If T is the time period and the mass of the particle is 2 gms, the kinetic energy T of the particle when t = is given by :
Q: the phase angle for a block-spring system in SHM is o and the block's position is given by x = Xm…
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Q: Through what total distance does the particle move during one cycle of its motion? (b) Calculate the…
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Q: A mass m 12 kg is attached to a spring with negligible mass and stiffnecs k=4N/m lying on a friction…
A: Given terms:
Q: A particle moves with SHM between two points which are 5.0 cm apart. At the instant when the…
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Q: A sewing machine needle moves with a rapid vibratory motion, rather like SHM, as it sews a seam.…
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Q: A 0.35 kg block rests on a frictionless horizontal countertop, where it is attached to a massless…
A: Given:- The mass of the block is m = 0.35 kg The spring constant is k = 22.0 N/m The block is…
Q: x (cm) t (ms) -4+ Figure 15-53 Problems 77 and 78. 78 Figure 15-53 gives the position x(t) of a…
A: Given that T=40ms=0.040s. From the graph, xm=7.0cm=0.070m The angular frequency here is The maximum…
Q: Pollowing statements is true concerning the motion of the block? O Its acceleration is greatest when…
A: In a spring mass system, spring force depends on the displacement of the mass, greater is the…
Q: (a) What is the dimension of area moment of inertia? (b) If the thickness of a piezoelectric…
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Q: A particle is attached to a spring with k = 100 N/m is undergoing SHM, and its position is described…
A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…
Q: A particle moves with SHM between two points which are 8.2 cm apart. At the instant when the…
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Q: A block attached to a spring undergoes simple harmonic motion on a horizontal, frictionless surface.…
A: The objective of the question is to find the kinetic energy of a block attached to a spring when the…
Q: A particle moves with SHM between two points which are 9.3 cm apart. At the instant when the…
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Q: t sec This graph represents the amplitude of a mass on a spring in SHM. If the time for two cycles,…
A: Total Energy of spring executing S.H.M is given by E = mω2A2/2 Here, E = Total Energy. m = mass . ω…
Q: In simple harmonic motion, when is the magnitude of the acceleration the greatest? O when the…
A: Simple harmonic motion, :-> At extreme position, Kinetic energy is zero And potential energy is…
Q: A hypnotized ant undergoes a SHM governed by the equation x (t) = (2.5 mm) cos(1.2 rad/s ·t + 0.50…
A: The given displacement equation of the ant is, Now to find the equation of instantaneous velocity…
Q: A vertical spring stretches 9.9 cm when a 2.4 kg block is hung from its end. (a) Calculate the…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function:…
A: Recall For SHM, maximam KE=max. PE= TME( total mechanical energy)
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- Two parakeets sit on a swing with their combined center of mass 12.3 cm below the pivot. At what frequency do they swing?A 2 kg mass attached to a horizontal ideal spring with spring constant k = 8 n2 N/m oscillates in SHM. a) Att = 0, the mass is at x = +0.5 m from its equilibrium position and has a velocity of- 3.0 m/s. Calculate K and U at t = 0 and then find E = K +U, the total mechanical energy of the system. b) From your answer in a), find A, the amplitude of the oscillations c) Find o, the angular frequency. d) Find o, the phase angle in radians from initial conditions by evaluating: x (t) = A cos (@t + 4) and v(t) if x(0) = + 0.5 m and v(0) = - 3 m/s. %3D %3D | %3D %3DChapter 15, Problem 022 GO The figure shows block 1 of mass 0.175 kg sliding to the right over a frictionless elevated surface at a speed of 7.75 m/s. The block undergoes an elastic collision with stationary block 2, which is attached to a spring of spring constant 1238 N/m. (Assume that the spring does not affect the collision.) After the collision, block 2 oscillates in SHM with a period of 0.125 s, and block 1 slides off the opposite end of the elevated surface, landing a distance d from the base of that surface after falling height h = 3.90 m. What is the value of d? Number Unit the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work
- A 0.60 kg block rests on a frictionless horizontal surface, where it is attached to a massless spring whose k-value equals 18.5 N/m. Let x be the displacement, where x = 0 is the equilibrium position and x > 0 when the spring is stretched. The block is pushed, and the spring compressed, until x, = -4.00 cm. It then is released from rest and undergoes simple harmonic motion. (a) What is the block's maximum speed (in m/s) after it is released? 1.23 X Mechanical energy is conserved in this system, and the gravitational term remains unchanged (since all motion is horizontal). Write an expression for mechanical energy that includes the kinetic energy and the potential energy of the spring. Which term(s) can be ignored when the spring is compressed and the block at rest? Which term(s) can be ignored when the block is moving at its greatest speed? Use the remaining terms, and the given quantities, to solve for the maximum speed. m/s (b) How fast is the block moving (in m/s) when the spring is…1) A2 Kg block is hanging on a frictionless inclined plane attached to a springwith a spring constantk 150 N/m. The spring is massless and it has an un-stretched length of 65 cm. a) If the spring is stretched and set in SHM: i) What is the frequency of the motion? i) What is the period of the motion? b) What is the equilibrium point of the block from the top of the inclined plane? 30°Asap plz
- A vertical spring stretches 13 cm when a 3.4 kg block is hung from its end. (a) Calculate the spring constant. This block is then displaced an additional 3.7 cm downward and released from rest. Find the (b) period, (c) frequency, (d) amplitude, and (e) maximum speed of the resulting SHM.. A mass is placed on a frictionless, horizontal table. A spring (k=99 N/m) which can be stretched or compressed, is placed on the table. A 6 kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x= 3 cm and releases it from rest. The mass oscillates in SHM. (a) Determine the equations of motion in terms of the amplitude 'A', the angular velocity 'w', and the time 't'. Use the initial conditions to find the value of in the equations. Hint: Use the equation editor (orange button in the answer box) and find w in the greek letters. DO NOT USE numerical values for A and @ for part (a). For example, a equation could be x(t)= Asin (wt). x(t)= m v(t)= a(t)= m/s m/s² (b) Calculate for this spring-mass system. @= rad/ s (c) Find the position, velocity, and acceleration of the mass at time t=2.8 s. Use @ up to 4 significant figures in the calculation. Note: Should you set your calculator in…