Skip to main content

VIRTUAL GRAVITY



1. The pendulum always takes the same time for each oscillation, whatever may be the size of the swing?  why?
2. Can earth's gravity be controlled or manipulated?
3. What is iso-chronous curve?
4. What is "virtual gravity" ?

     We will attempt to answer these questions in this article.

      When the metal ball is at the top of the curve , it is going to fall vertically.  Hence entire acceleration due to gravity g acts on it.  When the ball is at the bottom, it moves horizontally.  Hence no "g" acts on it.  From top to bottom, the ball moves in inclined planes.  (the angle of inclination of the planes with gravity changes from 0 to 90 degree).  Hence between top and bottom, only partial gravity acts.  It is given by the formula g cos x (x =0 to 90) and it is called virtual gravity.

 Now, g cos 0 =  g.1  =   g=9.8  at top
          g cos 45 =  g.0.707 =  g=6.93  at mid way
          g cos 90 = g.0 =  g=0  at the bottom
Hence the gravity acting on the ball slowly decreases from 9.8 - 0 while it moves from top to bottom. The above curve is a partial iso-chronous curve. The full curve is shown below and its property is explained.
   
   

     Whatever may be the starting point of the ball , it will always reach the lowest point  in the "same time".  It is because, at the top g = 9.8 m/sˆ2 acts, so it covers the long distance  quickly because of high acceleration.  At a mid point, only less g ( like 6.93 ) acts.  Hence it covers the small distance  slowly because of low acceleration.  Wherever the ball starts in the curve, it will take same and equal time to reach the lowest point.  Hence the name "iso-chronous curve" (iso-same; chrono - time).

      While the pendulum oscillates, it describes a cycloid or isochronous curve as shown in the second figure.  Hence the pendulum takes the same time for small and big oscillations.  Time for oscillation only depends on its length.  This principle was used in old wall clocks to measure time.
     
    [Now we understand that the inclined planes reduces or controls the gravity.  So they are widely used in children's play areas, swimming pools,parks, mountain roads etc.]

 Note:  The "g" is resolved into horizontal; and vertical components g cos x and g sin x respectively.  Only g cos x acts on the metal ball.      
-----------------------------------------------------------------

Comments

Post a Comment

Popular posts from this blog

Your heart -you do not know

  Size and Location: The human heart is roughly the size of a clenched fist and is located slightly to the left of the center of the chest. Despite its relatively small size, the heart plays a crucial role in pumping blood throughout the entire body. Heartbeat Variability: The heart does not beat at a constant rate. The interval between heartbeats can vary, and this variability is considered a sign of a healthy heart. Factors such as breathing, emotions, and physical activity influence the heartbeat. Electrical Conduction: The heart's contractions are controlled by electrical impulses. The sinoatrial (SA) node, often called the "natural pacemaker," generates electrical signals that regulate the heartbeat and coordinate the pumping of blood. Blood Pumping Capacity: On average, the human heart pumps about 2,000 gallons (or 7,570 liters) of blood each day. Over a lifetime, this amounts to pumping enough blood to fill several Olympic-sized swimming pools. Heart Chambers and V...
Post a Comment
Read more

THE WORK HORSE "="

    One cannot think of  a mathematical step without 'is equal to ' .  It balances right hand side and left hand side.  It aids simplification and manipulation of a mathematical expression. example: 2(A+B)  = C 2A+2B  = C         2A = C-2B           A = C-2B/ 2   In an electronic calculator,  the pressing of ' = " sign executes an asthmatic expression  or simply calculates.       In computer languages, it plays very important role.                                                                 A = B   When a computer looks at this expression, the value stored in the location named B is just transferred to the storage named A .  After execution both A and B will have the same value an...
Post a Comment
Read more

How does your smart phone detect motion, steps, rotation, and location?

 How it works-1  An accelerometer in a smartphone is a microelectromechanical system (MEMS) device that measures acceleration and tilt. It works by detecting changes in motion by measuring the vibration or acceleration of the device. The accelerometer consists of a small mass suspended on a spring inside a sealed chamber. When the device is subjected to acceleration, the mass moves relative to the device, causing a change in capacitance that can be measured and processed by the smartphone's hardware. The accelerometer measures acceleration in three dimensions (x, y, and z) and provides data that the smartphone's software can use to determine the device's orientation, detect motion, and track changes in velocity and acceleration. The accelerometer is used for a variety of purposes in a smartphone, including screen rotation, motion tracking for games and fitness apps, and detecting the position of the device for navigation and location services. Additionally, it can be used t...
Post a Comment
Read more