Q1/ The spring of constant k = 200 N/m is attached to both the support and the cylinder of mass m = 2.5 kg, which slides freely on the horizontal guide. If a constant force P = 12 N is applied to the cylinder at time t = 0 when the spring is undeformed and the system is at rest, calculate the velocity of the cylinder when x = 45 mm. Equilibrium position 200 N/m

Q1/ The spring of constant k = 200 N/m is attached to both the support and the cylinder of mass m = 2.5 kg, which slides freely on the horizontal guide. If a constant force P = 12 N is applied to the cylinder at time t = 0 when the spring is undeformed and the system is at rest, calculate the velocity of the cylinder when x = 45 mm. Equilibrium position 200 N/m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (1) If the datum for gravitational potential energy is set as shown below, the the gravitational potential energy of the wheel at the state 1 is___ N m(two decimal places) (2) If the datum for gravitional potential energ is set as shown below, the gravitational potential energy of the wheel at the state 2 is___ N m (two decimal places) (3) At state 1, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (4) The…
A rigid block of mass M is mounted on four elastic supports, as shown in the figure below. A small mass m drops from a height h and adheres to the rigid block without rebounding, and the spring constant of each elastic support is k. Determine the equation of motion of the system after the small mass strikes the block. Given the following values, if the equation of motion is in the form + az = 0, determine the value of a. M = 55 kg; m = 6 kg; k=181 N/m; h= 20 cm a = Hence, determine the natural frequency of vibration of the system in units, Hz. f= The springs are modified, so that the equation of motion is now +14x=0. If x = 0 at the static equilibrium position when both masses are included, the initial position is given by mg 20. Hence, determine the initial velocity of the system at the point of impact, ż (t = 0) = V₁ (units m/s). Vo = If the resulting motion of the system after the impact is of the form r(t) = A cos wnt + B sin wnt, determine the values, A = B= wn (rad/s) = k k M m h…
The dynamic system is initially at rest. The rod has a mass of m=0.5kg and a length of L=1m. The CG of the rod is located at G, and the rod is rotated about the point O, a distance, h=0.25m, away from point G. When the rod from above is rotated at the vertical position (swing to 90 degrees counterclockwise), find: a. Angular velocity b. Reaction at O
A block of 1:6 kg mass is on a plane inclined to 50 for which the kinetic friction coecient is c = 0:12. The block is connected to a spring of constant k = 5 N=m by a string. The latter passes without slipping through a pulley which is assimilated to a 1 kg disc having a radius of 0:15 m. If the system is initially at rest and the spring has a zero elongation, what is the module of the speed of the block when it has slipped by 0:Five feet down the incline?
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (1) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 1 is___ (two decimal places) (2) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 2 is___ (two decimal places) (3) The stretched spring length of the spring at the state 1 is________(m) (two decimal places) (4) The elastic potential energy at the potion 1 is_______(N·m) (two decimal places) (5) The stretched spring length of the spring at the…
The robot arm is elevating and extending simultaneously. At a given instant, 0 = 34°,0 = 37 deg/s, 0 = 107 deg/s²,1 = 0.55 m, i = 0.37 m/s, and 7 = -0.36 m/s². Compute the radial and transverse forces F, and F that the arm must exert on the gripped part P, which has a mass of m = 20.8 kg. Compare with the case of static equilibrium in the same position. Assume d = 0.52 m. SASAARE Answers: Dynamic: Fr= Static: i i N, Fe= i N₁, Fe= i Z Z N N
PIN 500 N/m, = Block A has a mass of mд = 3 kg and is firmly attached to a spring with spring constant k which is originally uncompressed. Then, block B with a mass of m³ = 2 kg is pressed against A with a steady force of F 100 N until static equilibrium is reached, as shown in the above figure Determine Suddenly, force F is removed. If B has a coefficient of kinetic friction of μ = 0.2 with the ground (while A's contact with the ground is frictionless). F = a. The force A exerts on B just before the force F is removed b. The force A exerts on B just after the force F is removed c. The speed of block B when it first begins to separate from A d. The distance block B travels before it again comes to rest F = || A V= d = N N B m S m F
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (5) The stretched spring length of the spring at the state 2 is _______(m) (two decimal places) (6) The elastic potential energy the state 2 is ___ (N·m ) (two decimal places) (7) The instantaneous center of zero velocity (IC) is (8) The mass moment of inertial about the mass center G is IG =_________(kg·m2 ) (two decimal places)
Please help with this practice question.
Determine the steady-state angle α if the constant force P = 180 N is applied to the cart of mass M = 9 kg. The cart travels on the slope of angle θ = 16°. The pendulum bob has mass m = 3 kg and the rigid bar of length L = 1.2 m has negligible mass. Ignore all friction.
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (8) The mass moment of inertial about the mass center G is IG =_________(kg·m2 ) (two decimal places)
The flat circular disk rotates about a vertical axis through O with a slowly increasing angular velocity w. Prior to rotation, each of the 0.52-kg sliding blocks has the position x = 28 mm with no force in its attached spring. Each spring has a stiffness of 430 N/m. Determine the value of x for each spring for a steady speed of 279 rev/min. Also calculate the normal force N exerted by the side of the slot on the block. The force N is positive if it pushes from the side labeled A. Neglect any friction between the blocks and the slots, and neglect the mass of the springs. (Hint: Sum forces along and normal to the slot.) Answers: X = wwwwwwww N = i i -74-74- mm mm mm N