A 0.49-kg block on a spring has a displacement in cm described by x(t) = 4.67cos(2t). What is the period of oscillation in seconds? Use one decimal place in your answer.
A 0.49-kg block on a spring has a displacement in cm described by x(t) = 4.67cos(2t)....
Suppose the motion of a mass on a spring can be described by x = 6 cm * sin ( 2.92 rad/s t + 0.73 rad ) What is the period of oscillation in seconds? Use two decimal places.
Can you please answer both questions, Y=0
Problem3 A (2+0.1y) kg block attached to a spring undergoes simple harmonic motion described by x (30 cm) cos[(6.28 rad/s)t + /4) Determine (a) the amplitude, (b) the spring constant, (c) the frequency, (d) the maximum speed (e) maximum acceleration of the block, and (e) the total energy of the spring-block. of the block Problem 4 A block attached to a spring, undergoes simple harmonic motion with a period of 1.5 + y)...
At t=0, the displacement x(0) of a block attached to a spring is -850 cm. The block's velocity v(0) is then -.920m/s, and its acceleration a(0) is +47.0 m/s^2 a) what is the angular frequency of this system? b) what are the phase constant and amplitude of this system?
Part A: 10 points each (Questions 1-4 1. A block mass of 3 kg attached with a spring kg attached with a spring of spring constant 2500 N/m as shown in the Figure below. The amplitude or maximum displacement X max is 7m. Calculate O a) 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...
I T A 5-kg block is hung on a vertical spring with a spring constant k 100 N/m and then slowly released and left at rest in its new equilibrium position. 1. How much does the spring stretch until it finds its new equilibrium position? 2. If this load is pushed by hand up 2 cm and then suddenly dropped allowing it to oscillate about its equilibrium, what is the angular frequency of its oscillation? 3. What function of time...
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring is given by x(t) = (0.25 m) cos((2/s)t + π/5) A) What are the angular frequency (in rad/s), frequency (in Hz), and period of this motion? B) Find the spring stiffness of the spring. C) Find the x-component of the velocity of the block as a function of time. D) Find the total energy of the block/spring system E) Find the maximum speed of...
A block with a mass of 0.650 kg is connected to a spring, displaced in the positive direction a distance of 50.0 cm from equilibrium, and released from rest at t = 0. The block then oscillates without friction on a horizontal surface. After being released, the first time the block is a distance of 30.0 cm from equilibrium is at t = 0.200 s. (a) What is the block's period of oscillation? 1.35s (b) What is the the...
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"...
A car and its suspension system act as a block of mass m= on a vertical spring with k 1.2 x 10 N m, which is damped when moving in the vertical direction by a damping force Famp =-rý, where y is the 1200 kg sitting 4. (a) damping constant. If y is 90% of the critical value; what is the period of vertical oscillation of the car? () by what factor does the oscillation amplitude decrease within one period?...
1. 14 pts] A 7-kg block hangs vertically on a spring, oscillating with amplitude 0.2 m. You measure the maximum speed of the block to be 4 m/s. What is the spring constant ? O 2800 O 450 O 140 O 3.5 O 1.75 2. [2 pts] What are the units of your answer? O kg kg/s Okg/s? Okgm/s? kg-m/s 3. 5 pts) You take this block and spring to Mars, where the acceleration due to gravity is only 3.7...