A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates
with simple harmonic motion along the x-axis with an amplitude A = 0.10 m.
(a)
What is the angular frequency
of this oscillation?
(b)
What is the period T and the frequency f of the oscillation?
(c)
If the phase constant
= 0, write down expressions for the displacement, velocity
and acceleration of the mass as a function of time.
(d)
What is the maximum displacement, the maximum velocity and the maximum
acceleration of the mass?
(e)
What is the velocity of the mass when it is halfway between the equilibrium
position and the maximum displacement (i.e. x = 5 cm).
(f)
What is the total energy of the oscillation?
(g)
If the amplitude is doubled, how does period change?
(h)
If the amplitude is doubled, how does the energy change?
can you please explain in detail??? i'm really bad at physics... thank you so much...
Part A: 10 points each (Questions 1-4) 1. A block mass of 3 kg attached with a spring of spring constant 2000 N/m as shown in the Figure below. The amplitude or maximum displacement Xmax is 5m. Calculatea) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x = 2 Cos(45t), where "x" displacement from equilibrium point in meters and "t"...
1) A 7.5kg mass attached to a spring with a spring constant of 365 N/m oscillates on a horizontal, frictionless track. Att 0, the mass is released from rest at x-2.32 cm. (That is, the spring is stretched by 2.32 cm.) (a) Determine the frequency of the oscillations. (b) Determine the maximum speed of the mass. Where does the maximum speed occur? (c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur? 2) A body is...
37. /m, is A kg mass attached to a massless spring with spring constant k-38 N oscillating without friction. If the mass has a velocity of 2.1 m/s when it is at the equilibrium position, what is the amplitude of the oscillation? b. 0.19 m c. 0.25 m d. 0.33 m e. 0.42 m 38. On earth, you have a pendulum of length L that oscillates with period T. Your friend lives on a planet where the acceleration of gravity...
A 0.40-kg mass is attached to a spring with a force constant of k = 207 N/m, and the mass–spring system is set into oscillation with an amplitude of A = 2.0 cm. Determine the following. (a) mechanical energy of the system _____ J (b) maximum speed of the oscillating mass _____ m/s (c) magnitude of the maximum acceleration of the oscillating mass _____ m/s2 A 0.40-kg mass is attached to a spring with a force constant of k =...
3. A 250 g mass is attached to a horizontal spring and oscillates with a frequency of 2.1 Hz. At one instant the mass is at -4.3 cm and has a horizontal velocity of 25 cm/s. A. What is the spring constant? B. What is the total energy of the oscillator? C. What is the period of oscillation? D. What is the amplitude? E. What is the maximum speed?
3. A 250 g mass is attached to a horizontal spring and oscillates with a frequency of 2.1 Hz. At one instant the mass is at -4.3 cm and has a horizontal velocity of 25 cm/s. What is the spring constant? B. What is the total energy of the oscillator? What is the period of oscillation? D. What is the amplitude? E. What is the maximum speed?
3. A 250 g mass is attached to a horizontal spring and oscillates with a frequency of 2.1 Hz. At one instant the mass is at -4.3 cm and has a horizontal velocity of 25 cm/s. A. What is the spring constant? B. What is the total energy of the oscillator? C. What is the period of oscillation? D. What is the amplitude? E. What is the maximum speed?
3. A 250 g mass is attached to a horizontal spring and oscillates with a frequency of 2.1 Hz. At one instant the mass is at -4.3 cm and has a horizontal velocity of 25 cm/s. A. What is the spring constant? B. What is the total energy of the oscillator? C. What is the period of oscillation? D. What is the amplitude? E. What is the maximum speed?
3. A 250 g mass is attached to a horizontal spring and oscillates with a frequency of 2.1 Hz. At one instant the mass is at -4.3 cm and has a horizontal velocity of 25 cm/s. A. What is the spring constant? B. What is the total energy of the oscillator? C. What is the period of oscillation? D. What is the amplitude? E. What is the maximum speed?
3. A 250 g mass is attached to a horizontal spring and oscillates with a frequency of 2.1 Hz. At one instant the mass is at -4.3 cm and has a horizontal velocity of 25 cm/s. A. What is the spring constant? B. What is the total energy of the oscillator? C. What is the period of oscillation? D. What is the amplitude? E. What is the maximum speed?