A simple pendulum has a period of 1.76 s. Find the following. (a) the frequency Hz (b) the angular frequency rad/s (c) the length of the pendulum m
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- 2. A simple harmonic oscillator takes 10.0 s to undergo five complete vibrations. Find (a) the period of its motion, (b) the frequency in hertz, and (c) the angular frequency in radians per second.An oscillating block-spring system takes 0.938 s to begin repeating its motion. Find (a) the period, (b) the frequency in hertz, and (c) the angular frequency in radians per second. (a) Number i Units 5 (b) Number i Units (c) Number i UnitsYour answer is partially correct. An oscillating block-spring system takes 0.938 s to begin repeating its motion. Find (a) the period, (b) the frequency in hertz, and (c) the angular frequency in radians per second. 5th (a) Number i 0.94 Units (b) Number 1.07 Units Hz prob (c) Number i 6.72 Units rad/s
- The motor shown in the photo is used to turn a wheel and attached blower contained within the housing. The details of the design are shown. If the pulley A connected to the motor begins to rotate from rest with a constant angular acceleration of αA = 2 rad/s2, determine the magnitudes of the acceleration of point P on the wheel, after the pulley has turned 4.88 revolutions. Assume the transmission belt does not slip on the pulley and wheel.The motor shown in the photo is used to turn a wheel and attached blower contained within the housing. The details of the design are shown. If the pulley A connected to the motor begins to rotate from rest with a constant angular acceleration of ag = 2 rad/s?, determine the magnitudes of the acceleration of point P on the wheel, after the pulley has turned 3.06 revolutions. Assume the transmission belt does not slip on the pulley and wheel. 0.15 m. AO aa = 2 rad/s² 0.4 m B (a)A certain accelerometer consists essentially of a box containing a mass-spring system with a known natural frequency of 2200 Hz. The box is rigidly attached to a surface that is moving according to the equation y= δm sin wf t If the amplitude zm of the motion of the mass relative to the box times a scale factor wn2 is used as a measure of the maximum acceleration am = δmwf2 of the vibrating surface, determine the percent error when the frequency of the vibration is 600 Hz.
- A 2.0 m long metal wire is loaded, resulting in a 4 mm elongation. Find the change in diameter of wire when elongated if the diameter of wire is 1.5 mm and the Poisson's ratio of wire is 0.24. a. 0.00072 mm O b. 0.00078 mm C. 0.00065 mm O d. 0.00083 mmThe pendulum consists of two slender rods AB and OC which have a mass of 3 kg/m. The thin plate has a mass of 12 kg/m2. Determine the location y̅ of the center of mass G of the pendulum, then calculate the moment of inertia of the pendulum about an axis perpendicular to the page and passing through G.The motion of a vibrating particle is defined by the position vector r = 10(1 - e¯")i + (4e sin 15t)j, where r and t are expressed in millimeters and seconds, respectively. Determine the velocity and acceleration when (a) t = 0, (b) t'= 0.5 s.
- A robot arm moves so that P travels in a circle about point B, which is not moving. Knowing that P starts from rest, and its speed increases at a constant rate of 10 mm/s, determine (a) the magnitude of the acceleration when t = 4 s, (b) the time for the magnitude of the acceleration to be 80 mm/s?. %3D 0.8 m В Answer: a. 10.20mm/s? -- --If the velocity is not uniform in the plastic tube, what is the effect of this on the Bernoull equation?The pendulum consists of two slender rods ABAB and OCOC which have a mass of 5 kg/mkg/m . The thin plate has a mass of 13 kg/m2kg/m2 . Suppose that aaa = 0.6 mm , bbb = 1.8 mm , and rrr = 0.2 mm . (Figure 1) A. Determine the location of the center of mass G of the pendulum. Determine the moment of inertia of the pendulum about an axis perpendicular to the page and passing through G.