An object having a weight W= 106 N, moves on a surface in a path Y(x) = 2.5x³ -0.0022 x² + 0.003x + 305 with a speed of V= 74 meters/sec at point X=9.8 meters and is changing its speed at the rate of 35 meters/sec² the surface has a coefficient of friction of 0.3 a)Determine the tangential acceleration vector and normal acceleration vector at the given point. b)Determine the radius of gyration at the given point. c) Determine the normal contact force between the object and the surface, indicate that I lose contact and Determine the frictional force between the object and the surface
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
An object having a weight W= 106 N, moves on a surface in a path Y(x) = 2.5x³ -0.0022 x² + 0.003x + 305 with a speed of V= 74 meters/sec at point X=9.8 meters and is changing its speed at the rate of 35 meters/sec² the surface has a coefficient of friction of 0.3
a)Determine the tangential acceleration vector and normal acceleration vector at the given point.
b)Determine the radius of gyration at the given point.
c) Determine the normal contact force between the object and the surface, indicate that I lose contact and
Determine the frictional force between the object and the surface
And the external force required to move the object.
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