1) A 300 -g mass is hung from acoiled spring and it stretches 20 cm.it is then streched an additional 15cm and released. Find (a) the freuency of vibration (b) the period,and (c) the velocity and acceleration at a displacement of 20 cm.
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.
![1) A 300 -g mass is hung from acoiled spring and it stretches 20 cm.it is then streched an
additional 15cm and released. Find (a) the freuency of vibration (b) the period,and (c) the
velocity and acceleration at a displacement of 20 cm.
a 1550-kg car moving at a constant speed of (900 km/hr) Its takes (16,000W)to keep it on
alevel road.How much power is required to keep the car moving at the same speed up a hill
2)
inclined at an angle of 35° with horizontal?
3) A 50-g block as in figure below is connected to a spring on a rough inclined plane that
makes an angle of 30 °with the horizontal.the block is pulled down the plane a distance
A =10 cm ,and is then released .the spring constant is 40 N/m and the coeffiecient of kinetic
friction is 0.25.Find the speed of the block when the displacement x= -A/2
A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe221554d-5844-4edc-bcfd-6c37ec30c6a0%2F0e0a5d6d-2b0f-4f29-9951-68acd5f85d24%2F4vka0ilj_processed.jpeg&w=3840&q=75)
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