A cylindrical flywheel ( 10 kg-m' about its axis of symmetry) is initially stationary and subjected...
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...
Figure shows a disk with moment of inertia J=0.5 kg-m2 that is initially rotating at an angular velocity 0 0 = 40 rad/s. A flexible shaft with torsional spring constant k = 65 N-m/rad connected to the disk. The disk is subjected to friction, which is modeled by linear viscous friction torque bò, with friction coefficient b = 1.0 N-m-s/rad. The input torque in the clockwise direction is a step function Tin(t) = 3.0U(t) N-m. Flexible shaft, k Disk Viscous...
The flywheel of an engine has a moment of inertia 3.00 kg m^2 about its rotation axis. What constant torque is required to bring it up to an angular speed of 370 rev/min in a time of 7.60 s, starting from rest? N?m What is its final kinetic energy? J
5. The flywheel of an engine has moment of inertia 2.50 kg m2 about its rotation axis. What constant torque is required to bring it up to an angular speed of 400 rev/min in 8.00s, starting from rest? ANS: 13.1 N m
A slender, uniform metal rod of mass M and length l is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring, assumed massless and with force constant k, is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. (Figure 1) 2. Find the torque τ due to the spring. Assume that θ is small enough that the spring remains effectively horizontal...
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 human body about an axis through its center of mass is important in the application of biomechanics to sports such as diving and gymnastics. We can measure the body's moment of inertia in a particular position while a person remains in that position on a horizontal turntable, with the bodys center of mass on the turntable's rotational axis. The turntable with the person on it is then accelerated from rest by a torque that...
2.b. The 12-lb lever OA with 10-in radius of gyration about O is initially at rest in the vertical position (0-90°). At this position, the attached spring of stiffness 3 lb/in is stretched by 4 in. Calculate the constant moment M applied to the lever through its shaft at O which will give the lever an angular velocity o4 rad/sec as the lever reaches the position 0 k3 Ib/in. 30° MWWN 0 15" 15
The planar four-bar mechanism shown below has a driving crank O1A that turns about O1 at a constant rate of (theta- dot) θ. = 10 rad/s CCW. The links O1A and O2B are balanced and have a mass moments of inertia about their center of mass of Iz = 0.02 kgm2 . The link ABC has a center of mass located at point G, has a mass of m = 2 kg, and has a mass moment of inertia of...
A child pushes her friend (m = 25 kg) located at a radius r = 1.5 m on a merry-go-round (rmgr = 2.0 m, Imgr = 1000 kg*m2) with a constant force F = 90 N applied tangentially to the edge of the merry-go-round (i.e., the force is perpendicular to the radius). The merry-go-round resists spinning with a frictional force of f = 10 N acting at a radius of 1 m and a frictional torque τ = 15 N*m...