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Solution:
Conclusion:
Both Charactristics Roots and Eigen Values are same i.e equal to -1+-j11.357
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Figure shows a disk with moment of inertia J=0.5 kg-m2 that is initially rotating at an...
pls solve Mathematical model Mathlab Simulink digram Plot diagram J 0.5kg-m2 that is initially rotating at...
pls solve
Mathematical model
Mathlab Simulink digram
Plot diagram
J 0.5kg-m2 that is initially rotating at an angular Figure P6.1 shows a flywheel with moment of inertia velocity 6o-40rad/s. The flywheel i subjected to friction, which is modeled by linear viscous friction torque bo, with friction coefficient b 0.06 N-m-s/rad. Use Simulink to obtain the dynamic response and plot the angular position θ(t) (in rad) and angular velocity θ(t) (in rad/s). In addition, use the simulation to integrate the rate...
In the diagram, Disk 1 has a moment of inertia of 4.20 kg · m2 and...
In the diagram, Disk 1 has a moment of inertia of 4.20 kg · m2 and is rotating in the counterclockwise direction with an angular speed of 6.90 rad/s about a frictionless rod passing through its center. A second disk rotating clockwise with an angular speed of 8.50 rad/s falls from above onto Disk 1. The two then rotate as one in the clockwise direction with an angular speed of 2.80 rad/s. Determine the moment of inertia of Disk 2.
In the diagram, disk 1 has a moment of inertia of 3.2 kg · m2 and...
In the diagram, disk 1 has a moment of inertia of 3.2 kg · m2 and is rotating in the counterclockwise direction with an angular velocity of 7.3 rad/s about a frictionless rod passing through its center. A second disk rotating clockwise with an angular velocity of 8.9 rad/s falls from above onto disk 1. The two then rotate as one in the clockwise direction with an angular velocity of 1.8 rad/s. Determine the moment of inertia, in kg ·...
Question 3 10 pts A horizontal disk with moment of inertia 0.36 kg-m2 is rotating with...
Question 3 10 pts A horizontal disk with moment of inertia 0.36 kg-m2 is rotating with an angular speed of 6.5 rad/sec. A point mass of 0.52 kg is gently placed on the outer edge of the disk in a manner so that no torque is applied. The mass then rotates with the disk at an angular speed of 4.37 rad/sec. What is the radius of the disk in meters? 0.38 0.28 0.88 0.58
A counterclockwise torque is suddenly applied to a rotating shaft with a moment of inertia of...
A counterclockwise torque is suddenly applied to a rotating shaft with a moment of inertia of 5 kg•m2 . The shaft was initially at rest (zero speed). If the applied torque causes the shaft to rotate at a constant angular acceleration of 1.5 rad/s2 , considering zero viscous damping: a) Calculate the applied torque. b) Calculate the angular speed of the shaft after 5 seconds in radians per second. c) Express the speed in revolutions per minute.
A disk with moment of inertia 9.15 × 10−3 kg∙m^2 initially rotates about its center at...
A disk with moment of inertia 9.15 × 10−3 kg∙m^2 initially rotates about its center at angular velocity 5.32 rad/s. A non-rotating ring with moment of inertia 4.86 × 10−3 kg∙m^2 right above the disk’s center is suddenly dropped onto the disk. Finally, the two objects rotate at the same angular velocity ?? about the same axis. There is no external torque acting on the system during the collision. Please compute the system’s quantities below. 1. Initial angular momentum ??...
The moment of inertia of the disk about O is 24 kg -m?. At t =...
The moment of inertia of the disk about O is 24 kg -m?. At t = 0, the stationary disk is subjected to a constant 45 N - m torque. Part A Determine the angular impulse exerted on the disk from t = 0 to t = 5 s, vec VO A20 N - m -s Angular Impulse = Submit Request Answer Part B What is the disk's angular velocity at t = 5 s? Assume counterclockwise direction is positive....
Ih, head inertia flexible shaft k, b I, motor inertia rn b, motor friction 6. Show...
Ih, head inertia flexible shaft k, b I, motor inertia rn b, motor friction 6. Show that the equations of motion for the disk-drive system are given by: where motor inertia θm = motor position Pn-head position b-shaft damping bm-motor bearing and brush friction Ihead inertia k-shaft stiffness t,n(t) = motor torque input Express the equations of motion in state-variable form using [bmuOh,o,n, θ ] as the state vector. What is the order of this system? Could the dynamics of...
A cylindrical flywheel ( 10 kg-m' about its axis of symmetry) is initially stationary and subjected...
A cylindrical flywheel ( 10 kg-m' about its axis of symmetry) is initially stationary and subjected to a constant torque τ. Assuming the flywheel's internal friction may be modeled as a viscous damping moment defined by the coefficient c 20 N-m-s/rad: 1 (a) Calculate θ in terms of τ (b) Calculate the constant torque τ required to drive this flywheel to an angular velocity θ = 10 rad/sec in 4 seconds. (c) Calculate the angle θ of the flywheel after...
The rotational system below has an inertia I = 50 kg m2 and a viscous damping...
The rotational system below has an inertia I = 50 kg m2 and a viscous damping con- stant c 10N -m s/rad. The torque T(t) is applied by an electric motor. From a free body diagram, the equation of motion can be shown to be dw 50 +10w= T(t) dt If the electrical system's inductance L tion for the field current 0.001 H and the resistance R = 5 , the equa- is is dis +5iy = v(t) 0.001 dt...
pls solve
Mathematical model
Mathlab Simulink digram
Plot diagram
J 0.5kg-m2 that is initially rotating at an angular Figure P6.1 shows a flywheel with moment of inertia velocity 6o-40rad/s. The flywheel i subjected to friction, which is modeled by linear viscous friction torque bo, with friction coefficient b 0.06 N-m-s/rad. Use Simulink to obtain the dynamic response and plot the angular position θ(t) (in rad) and angular velocity θ(t) (in rad/s). In addition, use the simulation to integrate the rate...
Question 3 10 pts A horizontal disk with moment of inertia 0.36 kg-m2 is rotating with an angular speed of 6.5 rad/sec. A point mass of 0.52 kg is gently placed on the outer edge of the disk in a manner so that no torque is applied. The mass then rotates with the disk at an angular speed of 4.37 rad/sec. What is the radius of the disk in meters? 0.38 0.28 0.88 0.58
The moment of inertia of the disk about O is 24 kg -m?. At t = 0, the stationary disk is subjected to a constant 45 N - m torque. Part A Determine the angular impulse exerted on the disk from t = 0 to t = 5 s, vec VO A20 N - m -s Angular Impulse = Submit Request Answer Part B What is the disk's angular velocity at t = 5 s? Assume counterclockwise direction is positive....
Ih, head inertia flexible shaft k, b I, motor inertia rn b, motor friction 6. Show that the equations of motion for the disk-drive system are given by: where motor inertia θm = motor position Pn-head position b-shaft damping bm-motor bearing and brush friction Ihead inertia k-shaft stiffness t,n(t) = motor torque input Express the equations of motion in state-variable form using [bmuOh,o,n, θ ] as the state vector. What is the order of this system? Could the dynamics of...
A cylindrical flywheel ( 10 kg-m' about its axis of symmetry) is initially stationary and subjected to a constant torque τ. Assuming the flywheel's internal friction may be modeled as a viscous damping moment defined by the coefficient c 20 N-m-s/rad: 1 (a) Calculate θ in terms of τ (b) Calculate the constant torque τ required to drive this flywheel to an angular velocity θ = 10 rad/sec in 4 seconds. (c) Calculate the angle θ of the flywheel after...
The rotational system below has an inertia I = 50 kg m2 and a viscous damping con- stant c 10N -m s/rad. The torque T(t) is applied by an electric motor. From a free body diagram, the equation of motion can be shown to be dw 50 +10w= T(t) dt If the electrical system's inductance L tion for the field current 0.001 H and the resistance R = 5 , the equa- is is dis +5iy = v(t) 0.001 dt...
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