A string has a mass per unit length of 3 x 10 g/cm and is attached to an electrically driven vibrator of frquency 100 cps. How long is the string if the number of segments produced is 2 under a tension of 0.3 kg? [Answer: cm; must
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- Now, solve the equation for ω in inverse-seconds or radians/sec. (Remember: a radian equals one.) As usual, -100000 means that we need further information. These are the parameters: m = 300 grams y0 = (equilibrium value) = 82 cm k = (spring constant) = 0.01 N/cmA student stretches a spring, attaches a 1.80 kg mass to it, and releases the mass from rest on a frictionless surface. The resulting oscillation has a period of 0.980 s and an amplitude of 29.0 cm. Determine the oscillation frequency, the spring constant, and the speed of the mass when it is halfway to the equilibrium position. (a) the oscillation frequency (in Hz) Hz (b) the spring constant (in N/m) N/m (c) the speed of the mass (in m/s) when it is halfway to the equilibrium position m/sq9
- The angle (with respect to the vertical) of a simple pendulum is given by 0 = 0mcos[(4.64 rad/s)t + p]. If at t = 0,0 = 0.0350 rad and de/dt = -0.200 rad/s, what are (a) the phase constant p and (b) the maximum angle Om? (Hint: Don't confuse the rate de/dt at which 0 changes with the w of the SHM.) Pivot point | s= L0 F,cose Fgsine- (a) (b) (a) Number i Unit (b) Number UnitSuppose that, for the graph in Fig. 15-4, each division on the time scale represents 1.00x10^-3 s and dvisions on the displacement scale are in cm. Find the following:(a) Amplitude (b) Period (c) Frequency (d) Displacement at t=0.020 sIn the arrangement shown below, (screenshot attached) an object can be hung from a string (with linear mass density μ = 0.00200 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), and the length of the string between point P and the pulley is L = 1.60 m. When the mass m of the object is either 9.0 kg or 16.0 kg, standing waves are observed; no standing waves are observed with any mass between these values, however. (a)What is the frequency of the vibrator (in Hz)? (b)What is the largest object mass (in kg) for which standing waves could be observed? (c) What would the linear mass density of the string have to be (in kg/m) if 16.0 kg is the largest mass for which standing waves are observed? (d) For what values of m (in kg) would standing waves with the next four higher numbers of nodes be observed in this case? (m1 =?, m2=, m3=, m4=, m5=)
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