2.76 Find the equation of motion of the uniform rigid bar OA of length I and mass m shown in Fig. 2.98. Also find its natural frequency. Torsional Linear spring spring k1 C.G. k2 Linear spring FIGURE 2.98

Q: A mass-spring system has a solution of x = 2.5m*cos(T/7*t). Find: 1. The system's amplitude is m. 2.…

A: Given: The equation of the wave is. x=2.5 mcosπt7…

Q: A mass-spring system is set up so that the mass oscillates in the horizontal. The mass is0.85ˍkg,and…

A:

Q: In Hook's Law experiment, a student noticed that the spring is oscillating 10 oscillations in 6.2 s…

A: Given, Time Period,T=106.2=1.61sMass,m=100g=0.1kg We have to calculate the spring constant, We have…

Q: Question 2.11 Use dimensional analysis to determine the dependence of the period T of a simple…

A: Write the dimensions of the period, mass, weight, and length.

Q: A pendulum has a period of 1.43s. What is its frequency?

A:

Q: The frequency of a spinning top is loffz.. It is the 6:28 sec. brough of a particle on its surface…

A: To find-Angular acceleration (α)=?Given-n1=10 Hzn2=0 HzInitial angular velocity (ω1)=2πn1=2π×10=20π…

Q: A pendulum takes 1.225E1 s to make 4.221 complete cycles. What is the period of the pendulum?

A: Given data The time period taken by the cycle is given as t = 1.225e1 s. The number of cycles…

Q: An object of mass 100 gis attached to the spring and oscillates with a period of 1.12s when . what…

A:

Q: For the triangle shown, the value of sine is Select one: 3m а. 0.8575 Оа. O b. 0.5145 5m О с. 1.666…

A: Base B = 3m Perpendicular P = 5m

Q: A simple pendulum is being used to determine the value of gravitational acceleration ? at a certain…

A: Given data-∆TT=150∆LL=0.125∆gg=?

Q: block of mass m 3 kg is attached to a spring with spring constant k = 250 N/m. Then it pulled a…

A: Given m = 3 kg

Q: A vertical spring stretches 4.2 cm when a 12-g object is hung from it. The object is replaced with a…

A:

Q: Ex. 11: The differential equation for linear d'xo =- 4x. If the amplitude dtnA S.H.M. is given by…

A: To find-(1) Displacement equation(2) Velocity at x=0.3 mGiven-S.H.M.d2xdt2=-4xAmplitude a=0.5…

Q: Find the spring constant k for a spring if a force of16ˍNstretches the spring0.29ˍm.…

A:

Q: 5. A 2kg mass is attached to one end of a spring with spring constant of 2kN/m. the period of the…

A:

Q: Given a SHM equation, x(t) = 5 cos 3.15π t , where x in meter and t in second, calculate: The…

A:

Q: A spring scale at the grocery store reads 19N. Sean discovers that the pan goes down 8.0cm when he…

A: Given data: The force is F=19 N The displacement is x=8 cm The following is the picture of the…

Q: When a force of 81 N is applied to a spring, it elongates 0.066 m. Determine the period of…

A: The expression for force acting on spring is, F=kx                                 k=spring…

Q: If a disc is taking 45 sec to oscillate for 33 rotations. Find the time period of a disc for the…

A:

Q: Ex. 5: The period of oscillation of simple pendulum increase by 20% when its length increased by 44…

A: We need to compute-(i)Initial length (L1)=?(ii) Initial period (T1)=?The data given as-New length…

Q: A pendulum is 0.65 meters long. a) What is the period of oscillation? b) What is the frequency of…

A:

Q: string has tension 95N, mass 12g and length L. The velocity when plucked is 340m/s. What is length?

A:

Q: 1. A simple harmonic motion of amplitude 0.01 m has a time period of 2 s. Calculate the velocity and…

A:

Q: A spring is hung from a ceiling, and an object attached to its lower end stretches the spring by a…

A: Given: Here, the given diagram is, A spring is hung from a ceiling, and an object attached to its…

Q: Derive the differential equation of motion.

A: It is problem of an oscillating rod.

Q: 5.1cm Cos(t). What A mass on a spring oscillates according to the equation x = is the period of the…

A: Answer:-.    (C) 0.75 s Displacement at t = 0 x = 5.1cm Cos [ (2π/0.75 s) × 0] x = 5.1 cm Cos (0)0 x…

Q: What length pendulum has a period of about4.14ˍs?4.A.4.255ˍmD.3.259ˍmB.3.621ˍmE.4.009ˍmC.

A:

Q: A mass attached to one end of a spring makes 20 vibrations in 10 seconds. Its angular frequency is?…

A:

Q: Ex. 44: The equation of linear S.H.M. is (1) 6 x = 10 sin 4t+ cm. Write down the values of…

A: We need to compute-(i) Amplitude (a)=?(ii) Period (T)=?(iii) Phase constant (α)=?(iv) Phase…

Q: find the frequency equations for small oscillations of the systems shown. - Y B 3 (9) Im Fmim L 7=89…

A:

Q: Figure 1.1 illustrates a massless uniform beam that is supported by two equal springs. The system…

A: Hooke's law states that the applied force F equals constant k times the displacement or change in…

Q: The time, t seconds, it takes a pendulum to complete one back and forth swing can be determined by…

A:

Q: A.3.3 Given the function governing the motion of a simple pendulum with mass 0.5 kg is 0 = 0.5…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which statement is correct? O a. ALL are correct O b. The number of complete oscillations made by…

A: We have to tell which statement is correct. Let's Check from second option. B) Time period is…

Q: A 250 g mass on a 28 spring is initially displaced +.02 m from the equi- librium position and has an…

A:

Q: A 225 g mass attached to a horizontal spring oscillates at a frequency of 5.20 Hz. At t = 0 s mass…

A: Mass (m)= 225 g Frequency (f)= 5.20 Hz At t = 0 s   x = 5.80 cm   vx= -29.0 cm/s

Q: A weight of 32 lb stretches a spring 6ft. The weight is pulled down 2ft below the equilibrium…

A: Spring mass system.

Q: cle final answer SAE S noitonut 1 of Name 6. A mass on a spring vibrates horizontally on a smooth…

A:

Q: A weight of 48 lb stretches a spring 4 ft. The weight is pulled down 2 ft below the equilibrium…

A:

Q: A pendulum is formed by placing a horizontal axis at various positions of a measuring stick of…

A: Length of the measuring stick L = 108 cm = 1.08 mGiven that the axis is placed at 81 cm (0.81 m)…

Q: Find the equation of the motion of the new mass at time t. 2. Determine the amplitude and period of…

A:

Q: A mass on a spring oscillates 43.0 times in 13.2 s. What is the frequency of the oscillation? For…

A: Given--- A mass on a spring oscillates 43.0 times in 13.2 s. We have to find--- What is the…

Q: Use a ratio to compare the period on the Moon to the period on the Earth for a pendulum with length…

A: Given that,  Length of the pendulum is l = 5.0 m Acceleration due to gravity on the earth is gEarth…