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A simple pendulum of length 30cm us suspended vertically. What is the period of the pendulum? What is the angular frequency of motion
A pendulum on planet X, where the value of g is unknown, oscillates with a period of 2 seconds. What is the period of this pendulum on earth where g= 9.8meter per second square?
A particle describes simple ahrmonic motion with amplitude of 5 cm and period of 0.2 sec. Calculate the velocity and acceleration of the particle when the displacement is 0 cm
A particle describes simple harmonic motion with amplitude of 5cm and period of 0.2 sec. Calculate the velocity and acceleration of the particle when the displacement is 5 cm. Calculate the velocity and acceleration of the particle when the displacement is 3 cm.
A spring having a spring constant of 1200 N/m.is mounted on a horizontal table. A mass of 3 kg is attached to the free end of the spring . The mass then pulled sideways to a distance of 2.0 cm and released. Determine the frequency of oscillation. Determine the maximum acceleration of mass and determine the maximum speed of the mass.
A disk between vertebrae in the spine is subjected to a shearing force of 600N. Find its shear deformation using the shear modulus of 1.0 times 10raised to 9 Pa. The disk is equivalent to a solid cylinder 0.7 cm high and 4.0cm in diameter.
A damped harmonic oscillator consists of a block (m = 2.00 kg), aspring (k =
10.0 N/m) and a damping force F = −bv. Initially, it oscillates with an amplitude of
25.0 cm; because of the damping, the amplitude falls to three-fourths of this initial
value at the completion of four oscillations.
a) What is the value of b? (ANS = 0.102 kg/s)
b) How much energy has been lost during these four oscillations?(ANS=0.137 J)
A mass of 2kg is supported by a copper wire of length 4.0 m and diameter of 4.0 mm. Modulus of elasticity of copper is 1.10 x 10 raised to eleven Pa. Calculate the stress and elongation of wire.
A steel bar has a diameter of 1 cm with an original length of 2m. The bar is pulled by force of 365 N. Modulus of elasticity of steel is 2.1 times 10 to the power of eleven Pa. Determine change in length of the bar, the stress and strain experienced by the bar.
A block of gelatin is 60 mm long, 60mm wide and 20mm high when unstressed. A force of 255N is applied tangetially to the upper surface causing a 5mm displacement relative to the lower surface. The block is placed such that the 60 mm x 60mm dimention of the block comes on the lower and upper surface. Find the shearing stress, shearing strain, and the shear modulus.
