A 2.30 kg cube rests upon a frictionless, horizontal floor. The cube is attached to a horizontal spring (of force constant k = 430 N/m) whose other end is anchored to a nearby wall. The cube is pulled until it lies a distance xi = 4.70 cm from its equilibrium position (x = 0). The cube is then released and undergoes simple harmonic motion. A horizontal spring labeled k extends along the x-axis. It has a block labeled m attached to its right end and a wall attached to its left end. A dotted line shows the position the block would be at the x = 0 position. The block is shown to the right of this, at the x = xi position. (a) Calculate how much work must be done (in J) to stretch the spring from equilibrium (x = 0) to the pre-release position (xi). J (b)With what speed (in m/s) does the cube pass through the equilibrium position once it has been released from xi? m/s

Q: A 17.2-kg mass is attached to a horizontal frictionless spring. The system has a spring with a…

A:

Q: h one end of a spring with a force constant k = 753 N/m to a wall and the other end to a mass  m =…

A: Givenk=753 N/mm=1.42 kgxi=6.56 cm=0.0656 m

Q: A spring hangs from the ceiling with an unstretched length of ?0=0.71 m�0=0.71 m . A ?1=7.9 kg�1=7.9…

A:

Q: simple pendulum is suspended from the ceiling by means of a string and the pendulum has a length of…

A:

Q: A 1.60 kg block slides on a rough horizontal surface. The block hits a spring with a speed of 2.10…

A: Given: m=1.60kgv=2.10 m/sx=11.0 cm=0.11mμ=0.460

Q: A 2.8 kg block is set on a horizontal table. One end of a spring is attached to the block, and the…

A: When block is released ,it will execute S.H.M.  with Max elongation,A = 30 cm = 0.30 m . Mass of the…

Q: Pollowing statements is true concerning the motion of the block? O Its acceleration is greatest when…

A: In a spring mass system, spring force depends on the displacement of the mass, greater is the…

Q: A horizontal spring is attached to a wall at one end and a mass of 5.3 kg on the other end. The…

A:

Q: A 0.72 kg mass is held against the a compressed spring and released from rest. The linear spring is…

A: Some portion of strain energy stored in the spring will be converted in to kinetic energy of the…

Q: The total mechanical energy of a block, attached to a spring and moving in simple harmonic motion on…

A: Mechanical energy is defined as the sum of Kinetic energy and potential energy. Potential energy is…

Q: A spring with spring constant 29 N/m is compressed a distance of 9.0 cm by a ball with a mass of…

A: Given data, Spring constant k=29 N/m Change in length x=9 cm Mass m=206.5 g

Q: A block with mass 6.00 kg sliding on a horizontal frictionless surface is attached to one end of a…

A: Basic Details According to the conservation of energy, the energy of the system remains conserved.…

Q: with a mass of 219.5 g (see figure below). The ball is then released and rolls without slipping…

A:

Q: A 5.00 kg partridge is suspended from a pear tree by an ideal spring of negligible mass. When the…

A:

Q: 5. 0 m feeler A mass m = 25 kg is sitting on a slope with 0 = 20⁰. There is no friction between the…

A: Solution:-Given thatm=25 kg, θ=20°, lo=5 cm∆x=6.2 cm=0.062 m

Q: Part (b) Does increasing the mass at the end increase the maximum speed? O Yes O No

A: Write the expression of maximum speed. vmax=2gL1-cosθ

Q: A 0.050 kg object is attached to a spring with a spring constant of 150.0 N/m. The other end of the…

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Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

A:

Q: n ideal spring hangs from the ceiling. A 1.65 kg1.65 kg mass is hung from the spring, stretching the…

A: Given that           The mass of the hung (m) = 1.65Kg         stretching the spring a distance(x) =…

Q: A partridge of mass 5.01 kg is suspended from a pear tree by an ideal spring of negligible mass.…

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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.