(b) At the apex, determine the speed v of the ball, the total acceleration a of the ball, the normal component of acceleration a, and the tangential component of acceleration a.

Q: A tire, which is mounted on a car, has a radius of 0.15 m. A nail with a mass of 14.4 g is stuck in…

A:

Q: An automobile engine slows down from 2500 rpm to 1200 rpm in 2.5 s. Calculate its average angular…

A:

Q: A planet orbits a star, in a year of length 4.05e7 s, in a nearly circular orbit of radius 2.51e11…

A: Time period, T = 4.05 x 107 s radius, r = 2.51 x 1011 m

Q: A planet orbits a star, in a year of length 2.56 x 107 s, in a nearly circular orbit of radius 2.53…

A: Given, time period of planet, T=2.56×107s radius of orbit in which planet is orbiting, rp=…

Q: A planet orbits a star, in a year of length 2.77 x 107 s, in a nearly circular orbit of radius 3.78…

A:

Q: A disk 6.00 cm in radius rotates at a constant rate of 98.0 rev/s about its central axis. (a)…

A: Given:  radius of disc, r = 6 cm = 0.06 m  frequency of rotation, f = 98 rev/s  distance from the…

Q: A centrifuge is a common laboratory instrument that separates components of differing densities in…

A: Given data The time taken by the centrifuge is given as t = 11 s. The initial angular speed of the…

Q: Three people are standing on a horizontally rotating platform in an amusement park. One person is…

A: (a). Here all three people are stationary at their position and have same angular speed with respect…

Q: Explain the tangential component and normal component of acceleration.

A: The acceleration is defined as,  a¯=ddtv¯ Here, v is the velocity vector.

Q: A planet orbits a star, in a year of length 3.48 x 107 s, in a nearly circular orbit of radius 1.51…

A:

Q: A planet orbits a star, in a year of length 3.48 x 10's, in a nearly circular orbit of radius 1.51 x…

A: Given data: Time period, T=3.48×107 s Radius of the orbit, R=1.51×1011 m

Q: An ultracentrifuge accelerates from rest to 100,000 rpm in 3.50 min. (a)What is its angular…

A: SOlution: Given that n = 100000 rpm t = 3.5 min

Q: A 45.0cm diameter disk rotates with a constant angular acceleration of 2.50rad/s. It start from rest…

A: Given, Diameter of disk d = 45 cm =  0.45 m Angular acceleration α=2.50 rad/s2 t = 2.30 s Angle θ =…

Q: A race car accelerates uniformly from a speed of 40 m/s to a speed of 60 m/s in 5 s while traveling…

A: Given that: The initial velocity is u=40 m/s The final velocity is v=60 m/s The time taken is t=5 s…

Q: 1) A stopwatch starts while race car travels at 9 m/s from the pit area and accelerates at a uniform…

A:

Q: A planet orbits a star, in a year of length 3.98 x 107 s, in a nearly circular orbit of radius 2.14…

A:

Q: a year of length 3.58 x 107 s, in a nearly circular orbit of radius 2.02 x 1011 m. With r ar speed…

A:

Q: A Google search revealed that the disc in a CD player spins at between 200 and 500 revolutions per…

A: Given:  initial frequency, frequency, f = 200 rpm = 3.33 rps  final frequency, f' = 448 rpm = 7.47…

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.