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 UnitsThe 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.
- 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.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 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 mm
- 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.The 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.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?A bolt of an automobile wheel is tightened by applying the couple shown for 0.35 seconds. The wheel has a mass of 19 kg and has a radius of gyration of 250 mm. If the wheel is free to rotate and is initially at rest; Determine the resulting angular velocity in rad/s of the wheel.Determine the Maximum Deflection of The Beam In Millimeters Unit. Use the Virtual Work Method. Please show your Complete Solutions E = 200GPa, I = 200x105 mm* Note: Please base your answer on the givens provided, please don't use other givens from other examples, use only the givens that are provided in the picture thank you 712kW/m Zizk 2 I 32 Member AB вс со kN/m intral Hinge E = 200GPa I=200x 100 mm4 HI HA I 5m 29KN AMIC I 3m