Two masses m1 and m2 are connected by a spring of spring constant k

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A 1 kg block situated on a rough incline is connected to a spring of spring constant 100 N m–1 as shown in Fig. 6.17. The block is released from rest with the spring in the unstretched position. The block moves 10 cm down the incline before coming to rest. Find the coefficient of friction between the block and the incline.

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A single mass m1 = 4.6 kg hangs from a spring in a motionless elevator. The spring is extended x = 10.0 cm from its unstretched length.1) What is the spring constant of the spring?2) Now, three masses m1 = 4.6 kg, m2 = 13.8 kg and m3 = 9.2 kg hang from three identical springs in a motionless elevator.

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Problem15‐13: In the figure two springs of spring constant k l and k r are attached to a block of mass m. Find the frequency and period. k l k r Let the positive x be to the right then the force on the block at x is: −(xk l +xxkkr)=mmaa a=− ()xk l +xk r m =−ω2a f =2πω T = 1 f A two degree-of-freedom system (consisting of two identical masses connected by three identical springs) has two natural modes, each with a separate resonance frequency. The first natural mode of oscillation occurs at a frequency of ω=(s/m) 1/2 , which is the same frequency as the one mass, one spring system shown at the top of this page. s1 = m. spring (k=1500000, l=0, m1=m1, m2=m2, color= (255, 0, 0), visible=True)

A system of masses connected by springs is a classical system with several degrees of freedom. For example, a system consisting of two masses and three springs has two degrees of freedom. You have two equal masses m1 and m2 and a spring with a spring constant k. The mass m1 is connected to the spring and placed on a frictionless horizontal surface at the relaxed position of the spring. You then hang mass m2, connected to mass m1 by a massless cord, over a pulley at the edge of the horizontal surface.