A damped harmonic oscillator consists of a block of mass 3 kg
and a spring with spring constant k=7 N/m. Initially, the system
oscillates with an amplitude of 23 cm. Because of the damping, the
amplitude loses 60% of its initial value by the end of four
oscillations.
a.) What is the value of the damping constant, b?
b =?
b.) What percentage of initial energy has been lost during these
four oscillations?
%=?
A damped harmonic oscillator consists of a block of mass 3 kg and a spring with...
A damped harmonic oscillator consists of a block of mass 5kg and a spring with spring constant k = 10 N/m. Initially, the system oscillates with an amplitude of 63 cm. Because of the damping, the amplitude decreases by 56% of its initial value at the end of four oscillations. What is the value of the damping constant, b? What percentage of initial energy has been lost during these four oscillations?
A damped harmonic oscillator consists of a block (m = 3.00 kg), a spring (k = 11.1 N/m), and a damping force (F = -bv). Initially, it oscillates with an amplitude of 28.7 cm; because of the damping, the amplitude falls to 0.760 of the initial value at the completion of 6 oscillations. (a) What is the value of b? (Hint: Assume that b2 << km.) (b) How much energy has been lost during these 6 oscillations?
Please solve carefully
6, A damped simple pendulum consists of a bob (m-2.55kg), a length (L = 4m), and a damping force (F- bv). Initially, it oscillates with an amplitude of 16.0 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? (b) How much energy has been "lost" during these four oscillations?
6, A damped simple pendulum consists of a bob (m-2.55kg),...
A simple harmonic oscillator consists of a block of mass 3.50 kg attached to a spring of spring constant 400 N/m. When t = 1.70 s, the position and velocity of the block are x = 0.121 m and v = 4.020 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 2.50 kg attached to a spring of spring constant 190 N/m. When t = 1.70 s, the position and velocity of the block are x = 0.184 m and v = 3.140 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 4.60 kg attached to a spring of spring constant 290 N/m. When t = 0.530 s, the position and velocity of the block are x = 0.158 m and v = 3.560 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 3.50 kg attached to a spring of spring constant 440 N/m. When t = 2.20 s, the position and velocity of the block are x = 0.136 m and v = 3.210 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 2.00 kg attached to a spring of spring constant 100 N/m. When t = 1.00 s, the position and velocity of the block are x = 0.129 m and v = 3.415 m/s respectively. a) What is the amplitude of oscillations? b) What were the position and velocity of the mass at time t = 0?
A simple harmonic oscillator consists of a block of mass 4.30 kg attached to a spring of spring constant 440 N/m. When t = 1.90 s, the position and velocity of the block are x = 0.179 m and v = 4.100 m/s. What is the amplitude of the oscillations? What were the position and velocity of the block at t = 0 s?
A simple harmonic oscillator consists of a block of mass 1.60 kg attached to a spring of spring constant 170 N/m. When t = 1.50 s, the position and velocity of the block are x = 0.126 m and v = 3.090 m/s. (a) What is the amplitude of the oscillations? What were the (b) position and (c) velocity of the block at t = 0 s?