First draw the free body diagram of the given system,
Where, T = mg , x = distance moved by spring, Kx = is spring force
(spring extended upward)
And
, Clock Wise taken as +ve
Substitute x value,
So equilibrium positions:
(spring extended upward)
. A 200 kg block is attached a the lever AO as shown in the figure....
A block of mass mmm= 3.00 kg is attached to the end of an ideal spring. Due to the weight of the block, the block remains at rest when the spring is stretched a distance hhh= 8.00 cm from its equilibrium length. (Figure 1)The spring has an unknown spring constant k. Take the acceleration due to gravity to be g = 9.81 m/s2m/s2 . Suppose that the block gets bumped and undergoes a small vertical displacement. Find the resulting frequency...
10. A 0.600-kg wood block is firmly attached to a very light horizontal spring k 200 N/m as shown in the figure. It is noted that the block-spring system, when compressed 5.00 cm and released, stretches out 4.00 cm beyond the equilibrium position before stopping and turning back. What is the coefficient of kinetic friction between the block and the table?
Question 1: A 200 kg block is attached to a spring of stiffens 50 kN/m is parallel with a viscous damper. The period of free vibration of this system is observed as 0.417 second. What is the values of the damping coefficient?
Problem 5: The spring-mass system shown has spring constants ky = 24 kN/m and kz = 36 kN/m with a suspended mass of 35 kg at A. If the block is displaced 50 mm below its equilibrium position and released with no initial velocity, determine: a) The circular natural frequency, the natural frequency, and the period b) The position, velocity, and acceleration of the block after a time of 30 seconds k2 mm ki A
The system shown in Figure Q1 consists of a crank lever AOD, 3 pulleys and container fill-up with mass of 30 kg attached with in-elastic cable. If all the viscous dampers are ignored, calculate the natural frequency of oscillation of the system when the crank lever is displaced with a small angular displacement and released. Take point A as point of transfer. к Given:- KA с 0.2 m 0 = 0.1 B Pulley 3 K=2 kN/m C=0 Ns/m Mass of...
< Chapter 13 Homework Vertical Mass-and-Spring Oscillator Constants I Periodic Table A block of mass m- 10.0 kg is attached to the end of an ideal spring. Due to the weight of the block, the block remains at rest when the spring is stretched a distance h- 6.00 cm from its equilibrium length. (Figure 1 )The spring has an unknown spring constant k. Take the acceleration due to gravity to be g -9.81 m/s Figure 1 of 1 > E:...
A block of mass 2.0 kg is attached to a horizontal spring that has a force constant of 1200 N/m as shown in the figure. The spring is compressed 10.0 cm and is then released from rest as in the figure. (a) Calculate the speed of the block as it passes through the equilibrium position x=0 if the surface is frictionless. (b) Calculate the speed of the block as it passes through the equilibrium position if a constant friction force...
A block of mass m = 2.00 kg is attached to a spring of force constant k = 4.55 x 10^2 N/m that lies on a horizontal frictionless surface as shown in the figure below. The block is pulled to a position x, = 5.65 cm to the right of equilibrium and released from rest. Find the the work required to stretch the spring. Find the speed the block has as it passes through equilibrium.
A block of mass m = 2.00 kg is attached to a spring of force constant k = 465 N/m as shown in the figure below. The block is pulled to a position xi = 4.70 cm to the right of equilibrium and released from rest. A spring labeled k has its left end attached to a wall and its right end attached to a block labeled m. The block is initially at a location labeled x = 0. It...
A block of mass m = 3.39 kg is attached to a spring (k = 28.7 N/m) by a rope that hangs over a pulley of mass M = 6.78 kg and radius R = 7.81 cm, as shown in the figure. a) Treating the pulley as a solid homogeneous disk, neglecting friction at the axle of the pulley, and assuming the system starts from rest with the spring at its natural length, find the speed of the block after...