In designing structures in an earthquake-prone region, how should the natural frequencies of oscillation of a structure relate to typical earthquake frequencies? Why? Should the structure have a large or small amount of damping?

Q: A spider's web can undergo SHM when a fly lands on it and displaces the web. For simplicity, assume…

A: The frequency of the oscillation can be given by ν=12πkm=12πgd

Q: An object with mass 0.250 kg is acted on by an elastic restoring force with force constant 10.7 N/m.…

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Q: h one end of a spring with a force constant k = 753 N/m to a wall and the other end to a mass  m =…

A: Givenk=753 N/mm=1.42 kgxi=6.56 cm=0.0656 m

Q: My pickup truck as a weight of 4500 lbs and a bed capacity of 1000 lbs. When I drive along a bumpy…

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Q: If the measured amplitude is 6.5cm in an experiment conducted using a simple pendulum of length…

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Q: If a car has a suspension system with a force constant of 5.00×104 N/m , how much energy must the…

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Q: An object is hung on a vertical spring originally at rest and set to start bobbing up and down by…

A: Given:mass of the object = 250 gSpring constant = 10 N/m

Q: A block of mass 0.003 kg is suspended from a spring of spring constant k = 10 N/m shown in the…

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Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max,…

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Q: he springs of a 1600 kgkg car compress 5.6 mmmm when its 68 kgkg driver gets into the driver's seat.…

A: Let mass of the person of the Driver m, and the Mass of the Car is M, The mass of the Driver is (m)…

Q: A mass of 500 grams is connected to a spring and displaced 50 cm from equilibrium. The mass is…

A: This question is based on Simple Harmonic Motion topic. Formula time period of oscillation of spring…

Q: A meter stick is used as a simple pendulum with a 1.5 kg mass attached at its end. Calculate the…

A: Given, mass of the bob in the pendulum, m=1.5 Kg length of the stick, L=1 m

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: A 0.850 kg block is attached to a spring with a spring constant 13.5 N/m . While the block is…

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Q: A young girl and her mother are swinging on a swing set. Who, if either, has the longer period of…

A: The period of the swing is, T=2πLg where, L = effective length.

Q: total energy of the system is 40 J. At t 0, the mass is at x = 0.1 m and is moving away the…

A: S.H.M

Q: Two simple pendulums with different lengths are each oscillating with small amplitude.  If the…

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Q: A cart with mass m = 2.2 kg is attached to a spring with k = 48 N/m and undergoes a simple harmonic…

A: Mass of the cart is m = 2.2 kg Spring constant of the spring is k = 48  N/m Amplitude of the…

Q: Find the maximum speed of the resulting SHM ( cm/s). cm/s Submit Answer Incorrect. Tries 6/15…

A: Given: The mass of the object is 1.7 kg. The amplitude of the system is 5.7 cm. The spring constant…

Q: Question: A simple pendulum can be modeled as a massless string with a mass at the end that will…

A: The period for a simple pendulum does not depend on the mass of the string.

Q: A 1 kg sphere is tied onto the bottom of a 3 m wire hanging vertically. The sphere is then pushed so…

A: Given  Mass of sphere (M) = 1kg Length of wire (L ) = 3m

Q: A 0.60-kg mass is oscillating on a spring over a horizontal frictionless surface. When it is at a…

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Q: A 1.2 kg block sliding at 5.4 m/s on a frictionless surface runs into and sticks to a spring. The…

A: The objective of the question is to determine the amplitude of the vibrations that start after the…

Q: A block with mass 2 kg is attached to an ideal massless spring as shown in the attached figure and…

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Q: Two identical simple pendulums are released from rest at different times, but from the same initial…

A: Explanation :- Due to difference in the time of release, the phase angle of the two simple pendulums…

Q: gy peno

A: Maximum kinetic energy of simple pendulum is KEmax = 1/2 m A2 w2 Angular frequency  w= 2π /T m =…

Q: 1) A spring-mass system consists of a 3.0-kg block and a 1200-Nm spring.  The block is held at rest…

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Q: A 5000 kg floating pier is moved up and down by the changing tide. If the period of this motion is…

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Q: A spider’s web can undergo SHM when a fly lands on it and displaces the web. For simplicity, assume…

A: At equilibrium, from Hooke's law Fg=Fkmg=k∆xkm=g∆x The expression for the frequency of oscillation…

Q: A building consists of two floors. The first floor is attached rigidly to the ground, and the second…

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Q: The amplitude of a lightly damped oscillator decreases by 4.7% during each cycle. What percentage of…

A: Mechanical energy of an oscillator is given as E=12×k×A2 where A denotes the amplitude  Since…

Q: A damped mechanical system is shown in the figure (k=204 N/m, m = = 2 kg) is subject to the…

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Q: The springs of a 1700 kg car compress 6.0 mm when its 68 kg driver gets into the driver's seat. If…

A: As we know from Hooke's law,  K ∆X = m g ---------(1) where K is spring constant  ∆X is the amount…

Q: A simple pendulum that has a period T on Earth’s surface is transported to the surface of a planet…

A: SOlution:

Q: A Christmas ball in a shape of a hollow sphere is hung from the tree by a piece of thread attached…

A: Given data: Mass of ball is, m=0.105 kg. Radius of ball is, r=0.12 m. Total moment of inertia of…

Q: A jumper weighing 61 kg jumps from a high bridge with a bungee elastic rope. After reaching the…

A: Given. Weight of jumper is 61 kg. Maximum depth from initial height is 25 m Angular velocity =…

Q: If a vibrating system has total energy E0, what will its total energy be (in terms of E0) if you…

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Q: How long must a simple pendulum be if it is to make exactly one swing per six seconds? (That is, one…

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Q: If a car has a suspension system with a force constant of 5.00 x 104 N/m, how much energy must the…

A: Given that-Force constant, k= 5.00×104 N/mMaximum displacement of oscillation, x=0.0750 mWe know…

Q: The total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a) What is the…

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Q: we saw that a runner’s Achilles tendon will stretch like a spring and then rebound, storing and…

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Q: which statements are true about Simple Harmonic Oscillator?   Energy is conserved The amplitude of…

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