# Solved examples on SHM

EX 1

Topics You May Be Interested In
Solving Physics Problems Bernoulli's Equation
Equilibrium And Elasticity Kepler's Second Law
Shear Stress And Strain The Gravitational Force Between Spherical Mass Distributions
Pressure, Depth, And Pascals Law A Point Mass Inside A Spherical Shell
Pascal Law A Visit To A Black Hole

Topics You May Be Interested In
Finding And Using The Center Of Gravity Viscosity
Bulk Stress And Strain Summary Of Fluid Mechanism
Gases Liquid And Density Weight
Pascal Law Kepler's First Law
Solved Problems Simple Harmonic Motion

Topics You May Be Interested In
Nature Of Physics Elasticity And Plasticity
Solving Physics Problems The Continuity Equation
Using And Converting Units Summary Of Fluid Mechanism
Uncertainty And Significant Figures Black Holes
Center Of Gravity Simple Harmonic Motion

Topics You May Be Interested In
Solving Physics Problems Kepler's First Law
Estimates And Order Of Magnitudes Kepler's Second Law
Summary Of Equilibrium And Elasticity A Visit To A Black Hole
Gases Liquid And Density Detecting Black Holes
Newton's Law Of Gravitation Describing Oscillation

Topics You May Be Interested In
Nature Of Physics Examples On Gravition
Equilibrium And Elasticity The Gravitational Force Between Spherical Mass Distributions
Tensile And Compressive Stress And Strain Black Holes, The Schwarzschild Radius, And The Event Horizon
Pascal Law Detecting Black Holes
Fluid Flow Describing Oscillation

Topics You May Be Interested In
Solving Physics Problems Viscosity
Shear Stress And Strain Newton's Law Of Gravitation
Elasticity And Plasticity Examples On Gravition
Pressure In A Fluid The Motion Of Satellites
Pressure, Depth, And Pascals Law Kepler's Laws (firsts, Second, Third Laws) And The Motion Of Planets

Topics You May Be Interested In
The Continuity Equation The Motion Of Satellites
Deriving Bernoullis Equation Kepler's Laws (firsts, Second, Third Laws) And The Motion Of Planets
Viscosity Apparent Weight And The Earth’s Rotation
Determining The Value Of G Summary
Weight Periodic Motion

Topics You May Be Interested In
Standards And Units Summary Of Fluid Mechanism
Bulk Stress And Strain Newton's Law Of Gravitation
Absolute Pressure And Gauge Pressure Why Gravitational Forces Are Important
Pressure Gauges Kepler's Second Law
The Continuity Equation Periodic Motion

+
Ans: the energy quantities E, K, and U at x = 0, x = ±A/2, and x = ±A. Figure 14.15 is a graphical display of Eq. (14.21); energy (kinetic, potential, and total) is plotted vertically and the coordinate x is plotted horizontally. The parabolic curve in Fig. 14.15a represents the potential energy U = 1/2 kx2 . The horizontal line represents the total mechanical energy E, which is constant and does not vary with x. view more..
+
Ans: We can learn even more about simple harmonic motion by using energy considerations. The only horizontal force on the body in SHM in Figs. 14.2 and 14.13 is the conservative force exerted by an ideal spring. The vertical forces do no work, so the total mechanical energy of the system is conserved. We also assume that the mass of the spring itself is negligible. view more..
+
Ans: We still need to find the displacement x as a function of time for a harmonic oscillator. Equation (14.4) for a body in SHM along the x-axis is identical to Eq. (14.8) for the x-coordinate of the reference point in uniform circular motion with constant angular speed v = 2k/m view more..
+
Ans: PROBLEM SOLVING STRATEGY ON ENERGY MOMENTUM OF SHM view more..
+
Ans: So far, we’ve looked at a grand total of one situation in which simple harmonic motion (SHM) occurs: a body attached to an ideal horizontal spring. But SHM can occur in any system in which there is a restoring force that is directly proportional to the displacement from equilibrium, as given by Eq. (14.3), Fx = -kx view more..
+
Ans: A mechanical watch keeps time based on the oscillations of a balance wheel (Fig. 14.19). The wheel has a moment of inertia I about its axis. A coil spring exerts a restoring torque tz that is proportional to the angular displacement u from the equilibrium position. We write tz = -ku, where k (the Greek letter kappa) is a constant called the torsion constant. Using the rotational analog of Newton’s second law for a rigid body, gtz = Iaz = I d2 u>dt2 view more..
+
Ans: The following discussion of the vibrations of molecules uses the binomial theorem. If you aren’t familiar with this theorem, you should read about it in the appropriate section of a math textbook. view more..
+
Ans: A simple pendulum is an idealized model consisting of a point mass suspended by a massless, unstretchable string. When the point mass is pulled to one side of its straight-down equilibrium position and released, it oscillates about the equilibrium position. view more..
+
Ans: A physical pendulum is any real pendulum that uses an extended body, as contrasted to the idealized simple pendulum with all of its mass concentrated at a point. F view more..

Rating - 3/5
510 views