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Explain the following terms with a neat sketch a) Under damping, over damping and critical damping b) Longitudinal, Transverse and Torsional vibrations

a) Under Damping, Over Damping, and Critical Damping These terms describe how a system responds w…

April 08, 2025

The firing order in a six cylinder vertical two stroke in-line engine is 1-4-2-6-3-5. The piston stroke is 100 mm and length of each connecting rod is 200 mm. The pitch distances between the cylinder centre lines are 100 mm, 100 mm, 150 mm, 100 mm and 100 mm respectively. The reciprocating mass per cylinder is 1 kg and the engine runs at 3000 rpm. Determine the out of balance primary and secondary forces and couples on this engine, taking the plane of cylinder 2 as the reference plane.

Six-Cylinder Two-Stroke Engine Balance Analysis Let's analyze the out-of-balance forces and c…

April 08, 2025
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A table tennis ball has radius (3/2) × 10−2 m and mass (22/7) × 10−3 kg. It is slowly pushed down into a swimming pool to a depth of 𝑑 = 0.7 m below the water surface and then released from rest. It emerges from the water surface at speed 𝑣, without getting wet, and rises up to a height 𝐻. Which of the following option(s) is(are) correct? [Given: 𝜋 = 22/7, 𝑔 = 10 m s −2 , density of water = 1 × 103 kg m−3 , viscosity of water = 1 × 10−3 Pa-s.] (A) The work done in pushing the ball to the depth 𝑑 is 0.077 J. (B) If we neglect the viscous force in water, then the speed 𝑣 = 7 m/s. (C) If we neglect the viscous force in water, then the height 𝐻 = 1.4 m. (D) The ratio of the magnitudes of the net force excluding the viscous force to the maximum viscous force in water is 500/9.

March 16, 2025

Two uniform strings of mass per unit length u and 4u, and length L and 2L, respectively, are joined at point O, and tied at two fixed ends P and Q, as shown in the figure. The strings are under a uniform tension T. If we define the frequency v0 = 1/ 2L *[√T/u], which of the following statement(s) is(are) correct?

A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature of the convex surface (SPU) is 9 cm, while the planar surface (STU) acts as a mirror. This beaker is filled with a liquid of refractive index � up to the level QPR. If the image of a point object O at a height of ℎ (OT in the figure) is formed onto itself, then, which of the following option(s) is(are) correct? (A) For � = 1.42, ℎ = 50 cm. (B) For � = 1.35, ℎ = 36 cm. (C) For � = 1.45, ℎ = 65 cm. (D) For � = 1.48, ℎ = 85 cm.

A thin uniform rod of length L and certain mass is kept on a frictionless horizontal table with a massless string of length L fixed to one end (top view is shown in the figure). The other end of the string is pivoted to a point O. If a horizontal impulse P is imparted to the rod at a distance x = L/n from the mid-point of the rod (see figure), then the rod and string revolve together around the point O, with the rod remaining aligned with the string. In such a case, the value of n is _____.

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Main Tags

  • causality paradox
  • Einstein relativity
  • electromagnetism
  • infinite speed
  • Maxwell’s equations
  • physics of light
  • quantum mechanics
  • Speed of light
  • universe without light speed
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