A 32 lb weight is suspended from a spring whose modulus is 5 lb/ft. The weight is pulled down 4 inches below equilibrium position and released. If there is a damping force in pounds numerically equal to 4 times the instantaneous velocity, find the position of the weight at the end of ?/2 sec

Q: he tip of the tunning fork goes through four hundred complete vibration in 8.00 s. Find the angular…

A: Given: The number of vibration cycles is 400. The time interval is 8 s.

Q: The period of oscillation of a spring-and-mass system is 0.6405 s and the amplitude is 5.78cm. What…

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Q: * pauticle is executing a SHM ili manimum acceleraltion is æ and maximum nelocity up. Then iti…

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Q: A 50.0 q object connected Force conslant oF 35.0 N

A: Given:- The  spring constant K = 35.0 N/m  The mass of the object m = 50. gram on a horizontal  The…

Q: Find the maximum speld par ficle undergoes SHM a períod of 050s and an amplitude 6f 20m m, OF a

A: Expression of angular speed -  ω=2πT Given values -  T=Time period =0.50 sA=Amplitude=20 mm =0.02 m…

Q: If an object performing a simple harmonic motion (SHM) with angular frequency 8rad/sec then…

A: Angular frequency is ω=8 rad/s=82π cycle/s=8×602πcycle/hr=76.394 cycle/hr

Q: melouty for pailiele in SHm is. O 16 m/s aned manimun aueleialion ir orGGy m/82." The armp litude he…

A: To find- Amplitude of S.H.M. (a)=? Given- Vmax=0.16 m/s(accn)=0.64 m/s2

Q: The period of oscillation of an irregularly shaped opbjectis1.2s. Its mass is 1.0 kg and it is…

A: To solve this question, we will use the concepts of simple harmonic motion for the oscillation of an…

Q: A 1.8 kg mass attached to an ideal spring oscillates horizontally with a period of 0.51 s and…

A: mass m = 1.8 kg time period T = 0.51 s Amplitude  A = 1.29 m

Q: A particle moves in simple harmonic motion witha an amplitude of 4.5cm. If it makes 16 full…

A: Amplitude (A) = 4.5 cmFrequency (f) = 16 full oscillations in 25 s = 0.64 HzDistance from…

Q: A force of 12 N is required to stretch a spring 4 m. A mass of 1 kg is attached to the spring and…

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Q: A box of 4.7 kq oscillates backend farth because it is attached to a sprng, vithasprng constant Of…

A: The mass of the box m=4.7 kg. The spring constant of the spring k=680 N/m. The amplitude of the…

Q: a body describes shm with amplitude 5cm and period 0.2s.find acceleration and velocity of body when…

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Q: The amplitude of an oscillator having frequency of 300 oscillations per second reduces to 1/10 th of…

A: Frequency = f = 300 oscillations per second number of oscillation :n = 6000 oscillations  ⇒T = 1f =…

Q: In a spring block system the oscillation frequency is 4.00 Hz. If the amplitude of oscillation is…

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Q: A 50.0 kg mass attatched to a spring oscillates with an amplitude of 2.00 m. The toal mechanical…

A: Mass of object = 50 kg Amplitude of shm =2m Total mechanical energy= 400j V=2m/s

Q: A 0.5-kg block is undergoing SHM. The observed period is 2.2 s. Find the total mechanical energy (in…

A: given T=2.2 s amplitude a =59 cm =0.59 m

Q: The position of a weight attached to a spring is sit2 = -4 cos 8pt inches after t seconds. (a) Find…

A: Given That:                     s(t) = −4 cos 8t (a)                   The maximum height is the…

Q: A body of mass 2kg moves with S.H.M of amplitude of 0.4m and a period of 4s. Determine (i) The…

A: i)The angularfrequency of motion  is given by ω=2πT rad/secwhere T is the period of motiongiven…

Q: A piston executes simple harmonic motion with an amplitude of 0.1 m. If it passes through the center…

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Q: A uniform disk has a pivot point P at the edge, if small oscillation has radius R = 15 cm, mass M =…

A: The center of percussion from the pivot point. rcp=IMR=12MR2MR

Q: In a spring block system the oscillation frequency is 5.00 Hz. If the amplitude of oscillation is…

A:

Q: a 5 kg object oscillates on a spring witrh a force constant of 140 N/m. the damping coeeficient is…

A: The objective of the question is to find the amplitude of the oscillations of a 5 kg object…

Q: The position of a 0.30-kg object attached to a spring is described by x = (0.24 m) cos(0.5?t).…

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Q: Can you solve it plz A periodic driving force whose amplitude is 5N and angular frequency is 3rad/s…

A: Given that a force with amplitude F=5 N and angular frequency 3 rad/s acts on a spring mass system…

Q: A simple pendulum makes 97 complete osdillations In 3.10 min at a location where g- 9.80 m/s. (a)…

A: Part (a) Given: The number of oscillations made by pendulum is n=97. The time taken to made the…

Q: Abody of unknown mass is attached to an ideal spring that is mounted horizontally with its left end…

A: Given that, Spring constant (k)= 120 N/m Frequency (f)= 6 Hz Let the time period be T Angular…

Q: Consider the following system: A 3lb weight on a spring stretches it 6 inches. Assuming a damping…

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Q: Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its…

A: Length of string (l) = 12.5 cm  = 0.125 mMass of Bob (m) = 0.235 kg

Q: A damped and driven oscillator has k = 3.0 N/m m =0.10 kg, b = 0.020 Ns/m with a driving force of…

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Q: A body performing SHM about its mean position with period 24 s, after 4 s its velocity is л m/s,…

A: We need to compute-Length of the path=?Given that-A body performs SHM about mean position.Periodic…

Q: The tension in the string of a conical pendu- lum is 3N. If the length of the string is 2m. and its…

A: Given, The tension in the string of canonical pendulum= 3 N Length of string = 2 m Period= 2.6 s

Q: Ex. 6: A light spring is stretched by 2 cm when a weight of 10 gm is attached to its free end, the…

A: To find-(1) Frequency (n)=?(2) Amplitude (a)=?Given-x=2 cm=0.02 mmass (m)=10 gm=0.01 kgg=9.8 m/s2

Q: A body of mass 0.4kg moves with S.H.M of amplitude of 0.8mand a period of 2 seconds.…

A: Given data: Mass, m=0.4 kg Amplitude, A=0.8 m Time period, T=2 s Time, t=0.5 s