Compare the frequencies of vibration of two strings stretched with tensions 196 N and 49 N respectively. They are 1 meter in length and are of the same diameters but their densities are 8 x 10³ kg/m³ and 2 x 10³ kg/m³ respectively.
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- (a) A 0.450 kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 1.90 s? in kg(b) What is the length (in cm) of a pendulum that has a period of 0.707 s?in cm(c) An object with a mass m = 51.6 g is attached to a spring with a force constant k = 15.3 N/m and released from rest when the spring is stretched 31.2 cm. If it is oscillating on a horizontal frictionless surface, determine the velocity of the mass when it is halfway to the equilibrium position.in m/sA vertical spring scale can measure weights up to 170 N . The scale extends by an amount of 11.5 cm from its equilibrium position at 0 N to the 170 N mark. A fish hanging from the bottom of the spring oscillates vertically at a frequency of 2.05 Hz . Ignoring the mass of the spring, what is the mass m of the fish?The human eardrum responds to sound by vibrating. If the eardrum moves in simple harmonic motion at a frequency of 4.22 kHz and an amplitude of 0.110 nm (roughly the diameter of a single hydrogen atom), what is its maximum speed of vibration? (Amazingly, the ear can detect vibrations with amplitudes even smaller than this!) μm/s
- The human eardrum responds to sound by vibrating. If the eardrum moves in simple harmonic motion at a frequency of 2.88 kHz and an amplitude of 0.132 nm, what is its maximum speed of vibration? in. μm/sThe face of an aluminum plate, which is fixed in place, measures 90 cm by 90 cm. The thickness of the plate is 6 cm. A force parallel to it, produces a shear strain of 0.0060. The shear modulus of aluminum is 3.0 × 10^10 Pa. Find the displacement of the upper force.A vertical wire 2.1m long and of 0.0042 cm2 cross sectional area has a Young’s modulus of 2.00 x 1011 Pa. A 4.0 kg object is fastened to its end and stretches the wire elastically. If the object is now pulled down a little and released, the object undergoes vertical single harmonic motion. Find the period of its vibration.