what is the relationship between the mass of a pendulum bob and its period of vibration?
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(Mass does not affect the pendulum's swing. The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)
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Traditional mechanical balance-beam scales intrinsically measured mass. But ordinary electronic scales intrinsically measure the gravitational force between the sample and the earth, i.e. the weight of the sample, which varies with location.
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The greater the density of a medium, the slower the speed of sound. This observation is corresponding to the fact that the frequency of a simple harmonic motion is inversely proportional to the mass of the oscillating object.
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2). That relation tells us that the centripetal force is proportional to the mass and to the radius and proportional to the square of the frequency.
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An examination of rows 1 and 2 show that force and time are inversely proportional; for the same mass and velocity change, a tenfold increase in the time of impact corresponds to a tenfold decrease in the force of impact.
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Period of a Mass on a Spring. The period of a mass m on a spring of spring constant k can be calculated as T=2π√mk T = 2 π m k .
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The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.
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A: Newton's second law of motion describes the relationship between an object's mass and the amount of force needed to accelerate it. Newton's second law is often stated as F=ma, which means the force (F) acting on an object is equal to the mass (m) of an object times its acceleration (a).
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At every point in the motion of the pendulum the total mechanical energy is conserved. The sum of the gravitational potential energy and the kinetic energy, at each point of the motion, is a constant, which is the total mechanical energy.
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The mass of a particle determines the depth and width of its dimple and hence its resistance to acceleration. ... So the relationship between gravitational mass and inertial mass stems from gravitational mass being a warping of space and inertial mass stemming from the dynamics of moving such warpings through space.
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The difference is what happens over time: Simple Harmonic motion has the same amplitude over time. A perfectly frictionless pendulum will swing back and forth the same distance over and over again. Damped oscillation weakens over time; this applies to most real-life examples of harmonic motion, at least in some regard.
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Moment of Inertia Measuring Instruments operate on the principle of an inverted torsional pendulum, providing a stable platform on which to mount test parts. The instrument platform is restricted to one degree of freedom. This eliminates random motions normally present in hanging torsional pendulum measuring methods.
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Mass is the physical quantity that measures inertia.
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Two major factors, mass and distance, affect the strength of gravitational force on an object.
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Inertia is proportional to mass. Big masses resist changing their motion more than smaller masses. Objects at rest remain at rest unless acted on by a net force. A lot of inertia!
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A simple pendulum is represented by a mass of no size attached to an string of with no mass. A compound pendulum represents a real object that is swinging about a point other than its center of gravity. For the simple pendulum all you need to know is its mass and the distance to the pivot.
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The mass of an object is a measure of the object's inertial property, or the amount of matter it contains. The weight of an object is a measure of the force exerted on the object by gravity, or the force needed to support it. The pull of gravity on the earth gives an object a downward acceleration of about 9.8 m/s2.