The motorcycle travels with constant speed v0 along the sinusoidal path shown below. Answer the following questions: a) At the instant the motorcycle is at x = 3L/2, sketch the tangential and normal unit vectors on the path. b) Determine the acceleration of the motorcycle in tangential and normal components at the instant the motorcycle is at x = 3L/2. Express your answer in terms of v0, c, and L. In other words, leave your answer symbolic, because we don’t have any numbers. c) The speed of the motorcycle is constant, but you still have a non-zero acceleration. Explain why this is.
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.
The motorcycle travels with constant speed v0 along the sinusoidal path shown below. Answer the following questions:
a) At the instant the motorcycle is at x = 3L/2, sketch the tangential and normal unit vectors on the path.
b) Determine the acceleration of the motorcycle in tangential and normal components at the instant the motorcycle is at x = 3L/2. Express your answer in terms of v0, c, and L. In other words, leave your answer symbolic, because we don’t have any numbers.
c) The speed of the motorcycle is constant, but you still have a non-zero acceleration. Explain why this is.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images
