11:48Simple Harmonic Motion (2 of 16): Pendulum, Calculating Period, Frequency, Length and GravityStep by Step Science323views
08:268.01x - Module 15.09 - Simple harmonic motion of pendulum.Lectures by Walter Lewin. They will make you ♥ Physics.245views
Multiple ChoiceThe historic first playground on Mars has just opened. A child is on a swing with chains of length 2.3m. If a parent pulls the child backward from equilibrium, what is the child's maximum speed? The acceleration due to gravity on Mars is 3.7 m/s2.311views
Multiple ChoiceA 20 kg child is on a swing that has chains 2.4m long. Being interested in physics, the child's father gives a push and then watches to see what happens. He notices that the amplitude of the child's oscillation decreases by half in 20 s. What is the value of the time constant?323views
Multiple ChoiceA 20 kg child is on a swing that has chains 2.4m long. At what frequency should the child's father deliver his pushes to ensure the highest swing possible?350views
Multiple ChoiceA wooden meter stick is suspended from one end with a frictionless peg. If the meter stick is given a small bump and allowed to oscillate as a pendulum, what is the period of motion?445views
Textbook QuestionA simple pendulum 2.00 m long swings through a maximum angle of 30.0° with the vertical. Calculate its period (a) assuming a small amplitude, and (b) using the first three terms of Eq. (14.35). (c) Which of the answers in parts (a) and (b) is more accurate? What is the percentage error of the less accurate answer compared with the more accurate one?402views
Textbook QuestionA simple pendulum 2.00 m long swings through a maximum angle of 30.0° with the vertical. Calculate its period (a) assuming a small amplitude, and (b) using the first three terms of Eq. (14.35). (c) Which of the answers in parts (a) and (b) is more accurate? What is the percentage error of the less accurate answer compared with the more accurate one?395views
Textbook QuestionA certain simple pendulum has a period on the earth of 1.60 s. What is its period on the surface of Mars, where g = 3.71 m/s^2?690views
Textbook QuestionA building in San Francisco has light fixtures consisting of small 2.35-kg bulbs with shades hanging from the ceiling at the end of light, thin cords 1.50 m long. If a minor earthquake occurs, how many swings per second will these fixtures make?835views
Textbook QuestionYou pull a simple pendulum 0.240 m long to the side through an angle of 3.50° and release it. (b) How much time does it take if the pendulum is released at an angle of 1.75° instead of 3.50°?308views
Textbook QuestionYou pull a simple pendulum 0.240 m long to the side through an angle of 3.50° and release it. (a) How much time does it take the pendulum bob to reach its highest speed?656views
Textbook Question(II) A simple pendulum is swinging with amplitude equal to 8.5°. With what angle should it swing if its total energy is to be doubled?225views
Textbook Question(II) A clock pendulum oscillates at a frequency of 2.5 Hz. At t = 0, it is released from rest starting at an angle of 12° to the vertical. Ignoring friction, what will be the position (angle in radians) of the pendulum at(a) t = 0.25 s?155views
Textbook Question(III) A simple pendulum oscillates with an amplitude of 10.0°. What fraction of a period does it spend between + 8.0 ° and ― 8.0° ? Assume SHM.139views
Textbook QuestionA simple pendulum oscillates with frequency ƒ What is its frequency if the entire pendulum accelerates at 0.35 g(a) upward ?132views
Textbook QuestionThe length of a simple pendulum is 0.72 m, the pendulum bob has a mass of 295 g, and it is released at an angle of 12° to the vertical. Assume SHM.(a) With what frequency does it oscillate?156views
Textbook Question(II) A musician wishes to construct a metronome based on a simple pendulum design where a “beat” is sounded when the bob reaches each opposite extreme of its swing. How long must the pendulum be so that this metronome is set for 104 bpm (bpm = beats per minute)?151views
Textbook QuestionInterestingly, there have been several studies using cadavers to determine the moments of inertia of human body parts, information that is important in biomechanics. In one study, the center of mass of a 5.0 kg lower leg was found to be 18 cm from the knee. When the leg was allowed to pivot at the knee and swing freely as a pendulum, the oscillation frequency was 1.6 Hz. What was the moment of inertia of the lower leg about the knee joint?318views
Textbook QuestionA uniform rod of length L oscillates as a pendulum about a pivot that is a distance x from the center. a. For what value of x, in terms of L, is the oscillation period a minimum?291views
Textbook QuestionA 15-cm-long, 200 g rod is pivoted at one end. A 20 g ball of clay is stuck on the other end. What is the period if the rod and clay swing as a pendulum?364views
Textbook QuestionA uniform rod of mass M and length L swings as a pendulum on a pivot at distance L/4 from one end of the rod. Find an expression for the frequency f of small-angle oscillations.566views
Textbook QuestionAstronauts on the first trip to Mars take along a pendulum that has a period on earth of 1.50 s. The period on Mars turns out to be 2.45 s. What is the free-fall acceleration on Mars?428views
Textbook QuestionA pendulum on a 75-cm-long string has a maximum speed of 0.25 m/s. What is the pendulum's maximum angle in degrees?539views
Textbook QuestionA pendulum is made by tying a 75 g ball to a 130-cm-long string. The ball is pulled 5.0° to the side and released. How many times does the ball pass through the lowest point of its arc in 7.5 s?771views
Textbook QuestionIn a science museum, a 110 kg brass pendulum bob swings at the end of a 15.0-m-long wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.5 m to the side and releasing it. Because of its compact shape and smooth surface, the pendulum's damping constant is only 0.010 kg/s. At exactly 12:00 noon, how many oscillations will the pendulum have completed and what is its amplitude?255views
Textbook Question(II) What is the period of a simple pendulum 47 cm long(b) when it is in a freely falling elevator?127views
Textbook QuestionA simple pendulum oscillates with frequency ƒ What is its frequency if the entire pendulum accelerates at 0.35 g(b) downward?168views
Textbook Question(II) The balance wheel of a mechanical (analog) watch is a thin ring of radius 0.95 cm attached to a coil spring (roughly like Fig. 14–35). It oscillates with a frequency of 1.55 Hz. If a torque of 1.1 x 10⁻⁵ m • N causes the wheel to rotate 45°, calculate the mass of the balance wheel.<IMAGE>136views
Textbook Question(II) A plywood disk of radius 20.0 cm and mass 2.20 kg has a small hole drilled through it, 2.00 cm from its edge (Fig. 14–38). The disk is hung from the wall by means of a metal pin through the hole, and is used as a pendulum. What is the period of this pendulum for small oscillations?<IMAGE>158views
Textbook QuestionTall buildings are designed to sway in the wind. In a 100 km/h wind, suppose the top of a 110-story building oscillates horizontally with an amplitude of 15 cm at its natural frequency, which corresponds to a period of 7.0 s. Assuming SHM, find the maximum horizontal velocity and acceleration experienced by an employee as she sits working at her desk located on the top floor. Compare the maximum acceleration (as a percentage) with the acceleration due to gravity.138views
Textbook QuestionA “seconds” pendulum has a period of exactly 2.000 s. That is, each one-way swing takes 1.000 s. What is the length of a seconds pendulum in Austin, Texas, where g = 9.793 m /s² ? If the pendulum is moved to Paris, where g = 9.809 m/s², by how many millimeters must we lengthen the pendulum? What is the length of a seconds pendulum on the Moon, where g = 1.62 m/s² ? 138views
Textbook Question(II) The human leg can be compared to a physical pendulum, with a “natural” swinging period at which walking is easiest. Consider the leg as two rods joined rigidly together at the knee; the axis for the leg is the hip joint. The length of each rod is about the same: assume 55 cm. Let the upper rod have a mass of 7.0 kg and the lower rod a mass of 4.0 kg. Calculate the natural swinging period of the system.112views
Textbook QuestionIn Section 14–5, the oscillation of a simple pendulum (Fig. 14–48) is viewed as linear motion along the arc length 𝓍 and analyzed via F = ma. Alternatively, the pendulum’s movement can be regarded as rotational motion about its point of support and analyzed using T = Iα . Carry out this alternative analysis and show that θ (t) = θₘₐₓ cos ( √g/ℓ t + θ) ,where θ (t) is the angular displacement of the pendulum from the vertical at time t, as long as its maximum value is less than about .<IMAGE>117views
Textbook QuestionThe amplitude of an oscillator decreases to 36.8% of its initial value in 10.0 s. What is the value of the time constant?337views
Textbook QuestionSuppose a large spherical object, such as a planet, with radius R and mass M has a narrow tunnel passing diametrically through it. A particle of mass m is inside the tunnel at a distance 𝓍 ≤ R from the center. It can be shown that the net gravitational force on the particle is due entirely to the sphere of mass with radius 𝓇 ≤ 𝓍 there is no net gravitational force from the mass in the spherical shell with 𝓇 > 𝓍. a. Find an expression for the gravitational force on the particle, assuming the object has uniform density. Your expression will be in terms of x, R, m, M, and any necessary constants.338views
07:52
