Give at least three necessary conditions for an object to undergo Simple Harmonic Motion(SHM).
Q: A sewing machine needle moves with a rapid vibratory motion, rather like SHM, as it sews a seam.…
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Q: Suppose a diving board with no one on it bounces up and down in a SHM with a frequency of 4 Hz. The…
A: The frequency of empty board is given by
Q: A car's front suspension has a natural frequency of 0.45 HzHz. The car's front shock absorbers are…
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Q: A sewing machine needle moves with a rapid vibratory motion, rather like SHM, as it sews a seam.…
A:
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: 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…
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 particle moves with SHM between two points which are 9.3 cm apart. At the instant when the…
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Q: An object of mass m is suspended at the end of a massless wire of length L and area of cross-section…
A: An object of mass m is suspended at the end of a massless wire of length L and area of cross-section…
Q: Use Newton's Second Law for Rotation to calculate the tension in the string. We will assume that the…
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Q: A ball of mass 2.0 kg is attached to a vertical spring. The spring constant is 196 N/m. What is the…
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Q: A 1.5x103 kg car is constructed on a frame supported by four springs. Each spring has a spring…
A: Frequency = 12πkm Here the four springs are in parallel to each other so the equivalent spring…
Q: A machine part is undergoing SHM with a frequency of 4.40 HzHz and amplitude 1.80 cmcm. How long…
A: Given: Frequency f=4.40 Hz Amplitude: A=1.80 cm We need to find the time it will take to go from x=0…
Q: An oscillating block-spring system has a mechanical energy of 4.48 J, an amplitude of 7.72 cm, and a…
A: Mechanical energy (E) = 4.48 J Amplitude (A) = 7.72 cm = 0.0772 m Maximum speed (vmax) = 1.89 m/s
Q: A 10kg load suspended by a brass wire 10m long is observed to vibrate vertically in SHM at a…
A: The frequency (f) of the load is given. Write the expression for the frequency of a vibration, and…
Q: On the end of a very long spring with a spring constant of 1.00 N/m is fixed on a wall, the other…
A: This question is based on Simple Harmonic Motion topic. Formula of Spring potential Energy Spring…
Q: Atoms in a solid are not stationary, but vibrate about their equilibrium positions. Typically, the…
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Q: A solid iron cube is attached to spring-like device and is able to oscillate horizontally with…
A: Given , Side of cube ,l= 1.50 cm = 0.015m Cube initially pulled to a point where x= 2.75 cm…
Q: A baby jumper consists of a cloth seat suspended by an elastic cord from the lintel of an open…
A: Mass of baby, m=6.80 kg Displacement in the cord, x=0.170 m Unstretched length, L=1.2 m We have to…
Q: An oscillating block-spring system has a mechanical energy of 3.03 J, an amplitude of 7.40 cm, and a…
A: Given, The mechanical energy, E=3.03 J The amplitude of oscillation, A=7.40×10-2 m The maximum…
Q: cat is sleeping on a platform that oscillates from side to side in SHM. The combined mass of the cat…
A: Write the given values of the problem- m=5 kg k=185 N/m
Q: A 0.369 kg body undergoes simple harmonic motion of amplitude 7.85 cm and period 0.250 s. (a) What…
A: Ans:- Image-1
Q: The equation of motion of a particle in simple harmonic motion is given by: x(t) 0.2cos(wt), where x…
A: given thatx(t)=0.2 cos(ωt)velocity,v=dxdtv=d0.2…
Give at least three necessary conditions for an object to undergo
Harmonic Motion
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- A vertical spring stretches 8.2 cm when a 1.6 kg block is hung from its end. (a) Calculate the spring constant. This block is then displaced an additional 4.8 cm downward and released from rest. Find the (b) period, (c) frequency, (d) amplitude, and (e) maximum speed of the resulting SHM.Equipment to be used in airplanes or spacecraft is often subjected to a shake test to be sure it can withstand the vibrations that may be encountered during flight. A radio receiver of mass 5.260 kg is set on a platform that vibrates in SHM at 109.0 Hz and with a maximum acceleration of 93.00 m/s2 . (a) Find the radio's maximum amplitude. Use scientific notation. ___x10^____ in M (b) Find the radio's maximum speed. in M/s (c) Find the maximum net force exerted on it. in NThe human eardrum responds to sound by vibrating. If the eardrum moves in simple harmonic motion at a frequency of 4.22 kHz and an amplitude of 0.110 nm (roughly the diameter of a single hydrogen atom), what is its maximum speed of vibration? (Amazingly, the ear can detect vibrations with amplitudes even smaller than this!) μm/s
- A 2.5-kg object hanging from a vertical spring of force constant 600 N/m oscillates with an amplitude of 3 cm. When the object is at its maximum downwards displacement, find (a) the total energy of the system, (b) the gravitational potential energy, and (c) the potential energy in the spring. (d) What is the maximum kinetic energy of the object? (Hint: choose potential energy = 0 when the object is in equilibrium.)A vertical wire 2.1m long and of 0.0042 cm2 cross sectional area has a Young’s modulus of 2.00 x 1011 Pa. A 4.0 kg object is fastened to its end and stretches the wire elastically. If the object is now pulled down a little and released, the object undergoes vertical single harmonic motion. Find the period of its vibration.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.