Q4: The slider block B is confined to move within the smooth slot. It is connected to two springs, each of which has a stiffness of k = 30 N/m. They are originally stretched 0.5 m when s = 0 as shown. Determine the maximum %3D distance, smax, block B moves after it is hit by block A which is originally traveling at (vA)= 8 m/s. Take e = 0.4 and the mass of each block to be 1.5 kg. Ans.: Smas. 1.53 m k- 30 N/m 2 m (VA-8 m/s 2 m k- 30 N/m

Q: 30 Figure 7.11 7.21. Assume that u, = 0.2 in Fig. 7.11. What is the acceleration? Why did you not…

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Q: 22. A 200 kg roller coaster begins from rest. The ride reaches a maximum height of 30 m and a top…

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Q: Pr4. A vertical spring of stiffness k is atta- ched to the top of a block of mass m. At t = 0 the…

A: Given that, The stiffness of the vertical spring = k Mass of the block = m The constant velocity of…

Q: Shown below is a 30-kg block resting on a frictionless ramp inclined at 60° to the horizontal. The…

A: Step 1: Step 2: Step 3: Step 4:

Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 435 N/m as shown in the…

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Q: 3. A bungee cord is rated at 545N/m. The jump is off a bridge above a river. Unstretched, the bungee…

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Q: A 2.12 kg friction-less 4. block is attached to a horizontal spring as shown. Spring constant k =…

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Q: Now, three masses (m, = 4 kg, m2 = 12 kg and m3 = 8) hang from three identical springs in a…

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Q: A block is hung from the end of a spring with spring constant 15 N/m and made to vibrate up and down…

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Q: 5. A mass m = 10 kg starts to slide from a height of 3m down a rough incline 5 m long. The…

A: Free body diagram along the ramp:Let the distance travelled along the ramp be d, so the work done…

Q: A student builds a miniature cannon, using an initially compressed spring to launch a 200 gram ball…

A: In the given problem, a ball is launched from a cannon, which consists of a spring compressed to a…

Q: The surface the object slides on is frictionless aside from a L-long patch. A second spring with…

A: In the given question, Mass of object  = m Force constant of left spring = k1 Force constant of…

Q: The cars of an amusement park ride have a speed vA = 18 m/s at A and a speed vg = 11 m/s at B. If a…

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Q: A 21.3-kg child positions himself on an inner-tube which is suspended by a 7.28-m long rope attached…

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Q: 1. A 5.0000 x 10-kg subway train is brought to a stop from a speed of 0.6000 m/s in 0.3000 m by a…

A: Given, A subway train of mass m=5.00×105kg moving with a speed  vi=0.600 m/s is brought to rest in…

Q: 2. A rope connect two masses, M₁-8 kg. and M₂-5 kg. They are initially held at the same height above…

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Q: A box is motionless, sitting on a ramp with an incline of 0 =51.1 ° being pulled in the direction up…

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Q: 1) A daredevil plans to bungee jump from a balloon 73.0 m above a carnival midway. They will use a…

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Q: OM The coefficient of friction is given by μ = 0.100. How far has the spring compressed by the time…

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Q: A 215 g object is attached to a spring that has a force constant of 71.5 N/m. The object is pulled…

A: Given data The mass of the object is m = 215 g. The spring constant is given as k = 71.5 N/m. The…

Q: 7. A 20.0 kg box traveling initially at 5.0 m/s slides to a stop on a surface where μ=0.300. Δd =…

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Q: in a conical pendulum shown below, the string of length 2 m can withstand a maximum force of 100 N.…

A: Given:         Length of string(l) = 2m        Maximum tension in the string(Tmax) = 100 N…

Q: A bungee cord is rated at 545N/m. The jump is off a bridge above a river. Unstretched, the bungee…

A: Given data: The spring constant of cord is k=545 N/m. The unstretched length of cord is L=68 m. The…

Q: 1. A 3.0-kg cart on a frictionless horizontal surface is connected with an ideal string and an ideal…

A:

Q: 4. A 0.98 kg. block slides on a frictionless, horizontal surface with a speed of 1.32 m. The block…

A: mass of block (m)=0.98 kg speed(v)=1.32 m/s spring constant(k)=245 N/m  let 'x' be distance by which…

Q: A 205 g object is attached to a spring that has a force constant of 76.5 N/m. The object is pulled…

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Q: A box is motionless, sitting on a ramp with an incline of 0 =54.4 ° being pulled in the direction up…

A: Given:  θ=54.4°k = 150 N/mx = 6.4 mμs = 0.53μk = 0.15Mass of the box = m

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.