Q. 26 : The equation of displacement of particle performing SHM is maximum velocity is x = 0.25 sin (200 t). The (a) 100 m/s (b) 200 m/s (c) 50 m/s (d) 150 m/s
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Q: A spring with a spring constant of k = 184 N/m is initially compressed by a block a distance d =…
A: Given:- The spring constant k = 184 N/m The spring is compressed by a block at a distance d = 0.31…
Q: mass of 4.19 kg is placed on a vertical spring. What is the frequency, in Hertz, of a mass-spring…
A: Solution: Given: m = mass attached to spring = 4.19 kg k = force constant of spring = 31.1 N/m f =…
Q: ring has a length of 0.250 m when a 0.300 kg mass hangs from it, and a length of 0.750 m when a 2.30…
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Q: 2.6
A: Given: The amplitude of the eardrum = 6 x 10-7 m Maximum speed = 2.6 x 10-3 m/s Maximum acceleration…
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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: Plot x(t) as a function of t, for 0 ≤ t ≤ 3π. (b) What is x(t) when t = 1.5 s and t = 7 s. (c) What…
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Q: 8. A grandfather clock uses a pendulum that is 76.0 cm long. It is accidentally broken, and when…
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Q: ω = 17.99 rad/s.
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Q: A block rides on a piston that is moving vertically with simple harmonic motion. (a) If the SHM has…
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A: Given data: Amplitude, A=6.0×10-7m Maximum speed, vmax=2.6×10-3m/s
Q: ur response differs from the correct answer by more than 10%. Double check your calculations. m/s )…
A: GIVEN Mass m = 0.59 kg Spring constant k = 22.6 N/m Amplitude a = 4 cm = 4 × 10-2 m
Q: What is the frequency, in Hertz, of a simple pendulum if it has a length of 0.6 m? Assume that the…
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Q: When the 0.1-kg body is in the position shown, the linear spring is stretched 10 mm. Determine the…
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Q: Example(2): An object on a spring oscillates with a period of 0.80 s and an amplitude of 10 cm. At f…
A: Given: Period of spring oscillator = 0.8 s. Amplitude A = 10 cm. = 0.1 m. At time t = 0 s., it is…
Q: A mass of 8.5 kg is attached to a spring with the spring constant 30.0 N-m¹ and is placed on a…
A: spring constant (k) = 30 Nm mass (m) = 8.5 kg compression (d) = 0.03 m
Q: A 37 kg block on a horizontal frictionless surface is attached to a spring. The block is exhibiting…
A: Given, m = 37 kg TE = 420 J (a) Given, KE = (6/7) PE KE + PE = 420 (6/7) PE + PE = 420 (13/7) PE =…
Q: A particle undergoes SHM according to the law x= - (5 cm)cos[(4 s -1 )t + π]. Find the amplitude,…
A: It is given that a body undergoes SHM. Its position is given as,
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- An oscillating block-spring system has a mechanical energy of 3.03 J, an amplitude of 7.40 cm, and a maximum speed of 4.95 m/s. Find (a) the spring constant, (b) the mass of the block and (c) the frequency of oscillation. (a) Number 81.89 (b) Number 0.018 (c) Number 10.65 Units N/m Units kg Units HzA 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 %3DWhat is the frequency of the simple harmonic motion of a mass hanging from a spring, where k = 500 N/m and a mass=5kg.
- The motion of a body is described by the equation 3.40 sin (0.320лt) where t is in s and y is in m. (a) Find the amplitude. 3.4 m (b) Find the period. 19.63 s (c) Find the frequency. .160 Hz (d) Find the displacement at t = 3.00 s. 1.7884 m (e) Find the displacement at t = 30.0 s. .1708 m XA mass of 7.2 kg is attached to a spring with the spring constant 30.0 N-m¹ and is placed on a frictionless surface with the spring attached to a wall. The spring is then compressed by 0.03 m and released to oscillate with simple harmonic motion. Calculate the absolute value of maximum velocity of the mass on spring. Provide your answer in Sl units.Asap
- What is the phase constant (from 0 to 2π rad) for the harmonic oscillator with the velocity function v(t) given in the figure if the position function x(t) has the form x = xmcos(wt + p)? The vertical axis scale is set by vs = 5.00cm/s. Number 1.57 v (cm/s) -15 Units rad108 mand 25,551 T&T 8. A grandfather clock uses a pendulum that is 76.0 cm long. It is accidentally broken, and when repaired the length is shorter by 2.60 mm. Treating the clock's pendulum as a simple pendulum, by how much will the repaired clock differ from the correct time every period? ms E JL D $ C MA 2 22 Bana R F V 5 T G 6 tv ♫♫ B MacBook Air Y 9 H 8 7 U N 8 J 1 M K MOSISO DO O H W P command zoom Quies ar roe ouffer ? son by m 04 M optionA rubber band has a "spring constant" of 53Nm. When the rubber is pulled by a force of 11.2N, how far will it stretched?
- . 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…An initially 'un-compressed' spring (x1=0) is observed to compress 0.4 m before stopping and reversing the 26 m/s horizontal velocity of a 100 kg mass. Determine the spring constant in N/mm.