Two blocks and three springs are configured as shown in the figure below. All motion is horizontal. When the blocks are at rest, all springs are unstretched. k1 k3 mell m1 m2 Suppose m, = 2m , m2 = m , k̟ = 4k , k2 = k , k3 = 2k. Find the characteristics frequencies for small oscillations.
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- Do number 2Problem 2 An object of mass m sits on top of a horizontal plate. The plate (P) oscillates horizontally (perpendicular to Earth's gravity). The oscillation has amplitude is zo = 0.15 m and period T = 1 s. The friction between the body and the plate is so that the body just stays on the plate without slipping. Find the coefficient of friction between the plate and the body. Note that he maximal friction force between the plate and body is μN where N is the magnitude of the normal force. m 0 x = x cos atA 2.00 kg, frictionless block s attached to an ideal spring with force constant 350 N/m. At t = 0 the spring is neither stretched nor compressed and the block is moving in the negative direction at 11.0 m/s. Show Transcribed Text Part A G Find the amplitude. Express your answer to three significant figures and include the appropriate units. Show Transcribed Text Part B Go Find the phase angle. Express your answer in radians. Show Transcribed Text
- Please show work on paper and circle answerPlease solve the problem below. Thank you so much!!Item 1 Learning Goal: To understand the application of the general harmonic equation to the kinematics of a spring oscillator. One end of a spring with spring constant k is attached to the wall. The other end is attached to a block of mass m. The block rests on a frictionless horizontal surface. The equilibrium position of the left side of the block is defined to be x = 0. The length of the relaxed spring is L. (Figure 1) The block is slowly pulled from its equilibrium position to some position init> 0 along the x axis. At time t = 0, the block is released with zero initial velocity. The goal is to determine the position of the block (t) as a function of time in terms of w and init It is known that a general solution for the displacement from equilibrium of a harmonic oscillator is x(t) = C cos (wt) + S sin (wt), where C, S, and w are constants. (Figure 2) Your task, therefore, is to determine the values of C and S in terms of w and init Figure 1 of 3 L Xinit win x = 0 Part A Using the…
- Below I have 2 very similar equations that both use cos and sin within their answers. My question is, how do you know when to use cos or sin?? "An object is attached to a coiled spring. The object begins at its rest position at t=0 seconds. It is then propelled downard. Write an equation for the distance of the object from its rest position after t seconds, if the amplitude is 5 inches and the period is 4.5" d= -5sin(4pi t /9) "An object is attached to a coiled spring. The object begins at its rest position at t=0 seconds. It is then propelled downard. Write an equation for the distance of the object from its rest position after t seconds, if the amplitude is 9 inches and the period is 4.5" d= -9cos(4pi t/9)Imagine a bar of gold is hung on a spring in your kitchen and it extends the spring by 7 cm. At approximately what frequency in Hz (cycles per second) wilI the bar oscillate up and down when given a gentle vertical kick, if there is essentially no damping. Hz If we take the spring and the bar of gold to the surface of the moon, will the oscillation frequency there be higher, lower, or the same? Explain your answer above.Below I have 2 very similar equations that both use cos and sin within their answers. My question is, how do you know when to use cos or sin?? Please be as specific as possible, thank you! "An object is attached to a coiled spring. The object begins at its rest position at t=0 seconds. It is then propelled downard. Write an equation for the distance of the object from its rest position after t seconds, if the amplitude is 5 inches and the period is 4.5" d= -5sin(4pi t /9) "An object is attached to a coiled spring. The object begins at its rest position at t=0 seconds. It is then propelled downard. Write an equation for the distance of the object from its rest position after t seconds, if the amplitude is 9 inches and the period is 4.5" d= -9cos(4pi t/9)