To make a pendulum, a 410 g ball is attached to one end of a string that has a length of 1.8 m and negligible mass. (The other end of the string is fixed.) The ball is pulled to one side until the string makes an angle of 20° with the vertical; then (with the string taut) the ball is released from rest. Find (a) the speed of the ball when the string makes an angle of 14° with the vertical and (b) the maximum speed of the ball. (c) What is the angle between the string and the vertical when the speed of the ball is one-third its maximum value?

Q: Along a straight horizontal track, a roller-coaster car is moving at 25 m/s. As shown in the figure…

A:

Q: In the figure a block slides along a path that is without friction until the block reaches the…

A: Velocity at the start of the friction segment is, v=vA2-2gh=8.2 m/s2-29.8 m/s21.9 m=5.477 m/s

Q: A student pushes a baseball of m = 0.18 kg down onto the top of a vertical spring that has its lower…

A: a)The required speed from conservation of energy is,

Q: A 1.34-kg object moves along the x axis, subject to the potential energy shown in the figure. If the…

A: The potential energy of the object at point C is

Q: *Chapter 8, Problem 62 In the figure a block slides along a path that is without friction until the…

A: Speed at point b V = 10.18 m/s

Q: A mass of 16kg, is moving in the x direction, experiencing only conservative forces. The plot below…

A: In the presence of conservative forces , mechanical energy ( Kinetic energy+ Potential energy)…

Q: A stone with a mass of m = 2 kg fell from a certain height during ∆t = 2 sec with the initial…

A:

Q: A certain automobile having mass 1000 kg climbs an inclined road with a constant 32 m/s speed. If…

A: Mass of the car is m = 1000 kg velocity of the car is is v = 32 m/s Angle of inclination of the road…

Q: A block of mass 0.630 kg is pushed against a horizontal spring of negligible mass until the spring…

A: Work-energy theorem states that the work done by external forces equals the change in the mechanical…

Q: The maximum speed of a lorry of mass 3000kg moving on a level road against a non- gravitational…

A:

Q: Two masses m1 = 4.50 kg and m2 which has a mass 60.0% that of m1, are attached to a cord of…

A: Given: Mass of first block m1 is 4.50 kg. Speed of the masses is 2.42 m/s. Formula Used: Mass of…

Q: A block of mass 0.610 kg is pushed against a horizontal spring of negligible mass until the spring…

A: Given data, mass of the block, m = 0.610 kg force constant, K =  450 N/m radius of the track, R = 1…

Q: A simple pendulum, 2.0 m in length, is released with a push when the support string is at an angle…

A: Given: The length of the string is 2 m. The angle with the vertical is 25o. The initial speed of the…

Q: As shown in the figure below, two masses m1 = 4.20kg and m2 which has a mass 50.0% that of m1, are…

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Q: A 200-g steel ball is tied to a 2.00-m “massless” string and hung from the ceiling to make a…

A: We draw a diagram according to the question. Also take  dotted line below the figure as a reference…

Q: A block of mass 0.640 kg is pushed against a horizontal spring of negligible mass until the spring…

A: Using conservation of energy initial kinetic energy at A = final kinetic energy at top + final…

Q: four particles, each of mass 20.0 g, that form a square with an edge length of d = 0.600 m. If d is…

A: The mass of each particle,

Q: A pendulum of length 3.1 m with a bob of mass 2.2 kg is pulled aside until the bob makes an angle of…

A:

Q: A projectile of mas m = 1 kg is launched with an initial velocity V = (1.8 7+ 2.2 ) . What is the…

A: Given: The mass is m= 1kg. The velocity is v→=1.8 i^+2.2 j^ ms. At the highest point the velocity…

Q: An advertisement claims that a certain 1,200-kg car can accelerate from rest to a speed of 25 m/s in…

A:

Q: A simple pendulum, 1.00m in length, is released from rest when the support string is at an angle of…

A: Given: The length of the pendulum is 1 m. The angle of the pendulum with vertical is 20o. The…

Q: Since the ball is at rest, it has no kinetic energy and thus the total mechanical energy of the ball…

A:

Q: A pendulum is constructed by attaching a small metal ball to one end of a string of length L = 1.45…

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Q: A body of mass 11 kg projected vertically upward from the ground has a potential energy of 320 J and…

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Q: . A car of mass 900 kg is initially travelling at 50 km/h. If the speed increases so that its…

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Q: Two masses m1 = 4.50 kg and m2 which has a mass 60.0% that of m1, are attached to a cord of…

A: Given: The mass of the first mass is 4.50 kg. The mass of the second mass is 0.64.50 kg. The height…

Q: A ball toy of mass 22.7 g is thrown straight up with an initial speed of 2.8 m/s. Neglect air…

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Q: A 900-kg car cruising at a constant speed of 60 km/h is to accelerate to 100 km/h in 4 s. The…

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Q: A 0.5 kg pendulum bob is raised to 1.0 m above the floor, as shown in the figure above. The bob is…

A: Given data:  Mass (m) = 0.5 kg Initial height = 1.0 m Initial velocity = 0 m/s Final height = 0.8 m…

Q: Taking the surface of Earth as reference level, how high above the ground does a 65-kg flying witch…

A: Mass of the witch is 65kg  Gravitational PE = mgh

Q: A block with mass 2.0 kg is situated on a frictionless incline and connected to a light spring (with…

A:

Q: While a 33 kg girl jumps on a trampoline, her speed is measured at different points and it is…

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Q: • A ball of mass m = 0.75 kg is thrown straight upward with aninitial speed of 8.9 m>s. (a) Plot…

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Q: car (m = 660.0 kg) accelerates uniformly from rest up an inclined road which rises uniformly, to a…

A: Given Mass of the car is m=660.0 kg Height of the hill is h=39.0 m Final speed of the car is vf=24.9…

Q: A cart of mass 3 kg moves inside a vertical circular track of radius 13 m, as shown in the figure.…

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Q: As shown in the figure below, two masses m₁ = 5.10 kg and m₂ which has a mass 60.0% that of m₁, are…

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Q: An object is sliding down a frictionless incline of angle 48.8 degree. Given the potential energy of…

A: Given info: Angle of inclination, θ=48.8° Potential energy of the object at the top, P.E=7.73 J…

Q: The Huascaran mountain is a highly dangerous mountain, given that there are large rocks on the ice,…

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Q: A roller coaster of mass 500 kg is at its highest point in a loop traveling at a velocity of 4 m/s.…

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Q: What are the average powers a car weighting 1.2 × 10³ kg has to use (power of the car's engine) to…

A: Given: mass of the car (m) = 1200 kg v1 = 0 m/s v2 = 14 m/s v3 = 28 m/s Time in both cases (t) = 4 s

Q: A system in which only one particle can move has the potential energy shown in . Suppose U1 = 16 J.5…

A:

Q: A block with mass m = 0.10 kg is released from rest at point y = 1.0 m and slides down along a…

A: Given Mass of block m = 01 kg height y = 1 m track is friction less

Q: Two masses m1 = 4.30 kg and m2 which has a mass 50.0% that of m1, are attached to a cord of…

A: Given: Mass m1 = 4.3 kg. Mass m2 = 50% of m1 = 0.5×4.3 = 2.15 kg.

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.