In the figure, two blocks (m-1.80 kg and M=9.50 kg) and a spring (k-250 N/m) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks is 0.390. What amplitude of simple harmonic motion of the spring-blocks system puts the smaller block on the verge of slipping over the larger block? Number Units M

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Two simple harmonic oscillators H1 and H2 of masses on a spring have masses m1 and m2, spring constants k1 and k2, and amplitudes A1 and A2. It is found that the total mechanical energy of H2 equals 4H1. Which one of the following will NOT give this relationship? mị = m2 ; 4k1 = k2 ; A1 = A2 4m1 = m2 ; 4k1 = k2 ; Aı = A2 mi = m2 ; 2kı = k2 ; (v2) A1 = A2 4m1 = m2 ; kı = k2 ; A1 = A2

Calculate the angular frequency ω (in rad/s) with these numbers: k = 5100 N/m = 5100 kg/s2 m1 = 30 kg m2 = 25 kg

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A large block with mass 18 kg executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency 1.27 Hz. Block smaller block with mass 5 kg rests on it, as shown in the figure, and the coefficient of static friction between the two is flg = 0.401. The acceleration of gravity is 9.8 m/s². k -0000² 25 5 kg s=0.401 18 kg What maximum amplitude of oscillation can the system have if the block is not to slip? Answer in units of cm.

In the figure, a physical pendulum consists of a uniform solid disk (of radius R = 26.0 cm) supported in a vertical plane by a pivot located a distance d = 15.7 cm from the center of the disk. The disk is displaced by a small angle and released. What is the period of the resulting simple harmonic motion? %3D %3D Pivot• R. Number i ! Units S

A pendulum of length L = 0.61m and mass 4.8Kg has a spring of force constant k =610 N/m connected to it at a distance h = 0.35m below its point of suspension. Find the frequency 'f' of vibration of the system for small values of the amplitude (small 6). Assume the vertical suspension of length L is rigid, but ignore its mass. %3D Use g=9.8 for gravity. Round your answer to 3 decimal places.

In the figure, two blocks (m = 2.30 kg and M = 9.00 kg) and a spring (k = 180 N/m) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks is 0.300. What amplitude of simple harmonic motion of the spring-blocks system puts the smaller block on the verge of slipping over the larger block?

A simple pendulum comprised of a bob of mass  m = 172 g  and a lightweight string of length 76.0 cm is released from rest from an initial angle of 28.0° from the vertical. (a) Using the approach of simple harmonic motion, what is the maximum speed of the pendulum bob? m/s(b) Using the approach of simple harmonic motion, what is the maximum angular acceleration of the bob? rad/s2(c) How does the speed found in part (a) compare with that found by using a conservation of energy approach? (Assume that the values are nearly the same if within 10% of each other.) The speed is very different from that from part (a). The speed is nearly the same as that from part (a).