Curved portions of highways are always banked (tilted) to prevent cars from sliding off the highway.When a highway is dry, the frictional force between the tires and the road surface may be enough to prevent sliding.When the highway is wet, however, the frictional force may be negligible, and banking is then essential. a car of mass m as it moves at a constant speed v of 20 m/s around a banked circular track of radius R = 190 m. (It is a normal car, rather than a race car, which means that any vertical force from the passing air is negligible.) If the frictional force from the track is negligible, what bank angle u prevents sliding?
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.
Curved portions of highways are always banked (tilted)
to prevent cars from sliding off the highway.When a highway
is dry, the frictional force between the tires and the road
surface may be enough to prevent sliding.When the highway
is wet, however, the frictional force may be negligible,
and banking is then essential. a car of mass m as it moves at a constant speed v of 20 m/s around
a banked circular track of radius R = 190 m. (It is a normal
car, rather than a race car, which means that any vertical
force from the passing air is negligible.) If the frictional
force from the track is negligible, what bank angle u prevents
sliding?
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