Q2) Consider a mass (m=5 kg) connected to a massless rod of length (L=2 m) to swing about point O, as shown in Figure (2). The mass is also connected to a spring of spring constant (k=10 N/m). The other end of the spring is connected to a pivot. The unstretched length of the spring is 1 m. Find the equation of motion of the L-2 m system. polar coordinates (r-0). m-5 kg 3 m k-10 N/m Figure 2

Q2) Consider a mass (m=5 kg) connected to a massless rod of length (L=2 m) to swing about point O, as shown in Figure (2). The mass is also connected to a spring of spring constant (k=10 N/m). The other end of the spring is connected to a pivot. The unstretched length of the spring is 1 m. Find the equation of motion of the L-2 m system. polar coordinates (r-0). m-5 kg 3 m k-10 N/m Figure 2

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

EHide blocks The two springs (AB) and (AC) are shown, in figure (a) below, in their original unstretched position. After the application. of a force F, the stretched position is shown in figure (b). The stiffness of spring (AC) is k(AC) = 200 lb/ft. The stiffness of the spring (AB), k(AB), is unknown. What would be the stretched length in spring (AB)? B 3. KAB 3 ft Kac- 200 !by 2ft ww
can you show the steps taken to equation of motion, how do you find the steady displacement of the mass m,find the total reponse in detail and the show the step taken to find the force transmitted in the part c.
Two equal masses m move without friction on a plate. They are connected to each other and to the wall as indicated in the figure. The spring constants are related as shown. Find the matrices {m} and {A} , then find the frequencies of small oscillation for the system, w, and w2. 4k m k m 2 X2
5. The pendulum shown below consists of a 30 kg point mass at the end of a uniform bar with mass m = 45 kg and length L = 2 m. The pendulum moves in a vertical plane while acted upon by a 500 N-m torque as shown. If the pendulum's angular velocity is 4 rad/s when 0 = 90 degrees, how much force is exerted on the pendulum by the pin at point A when 0 = 330 degrees? 500 N-m B F = 2470 N Z -52 degrees
Please please answer all Thanks
Consider the system shown in the following figure, which is pivoted at point O. Suppose the system is moving in a horizontal plane. Assume that a0.4 m,b-1m M=2 kg the mass of the bar m 4 kg. k10 N/m, c 93 kg/s and F(t)= F6 (t) N where F = 3Ns Assume zero initial conditions and the moment of inertia of the bar about point O to be Determine the mnaximum tip response amplitude in mm. ww- Rigid bar M F() 6154 mm 13.90 mm 8.93 mm 83.37 mm 19.85 mm O00 00
QUESTION 14 The collar of mass m = 77 kg in Figure Q14 slides outwards with an initial radial velocity vo = 0.58 m-s-1 from zero initial radial position (see dashed box) along a smooth rotating shaft (see unit vector ur). The shaft rotates with constant angular speed of w = 2 rad-s-1. Determine the magnitude of the constant force F (N) that needs to be applied in the radial direction (pointing towards the centre of the shaft) in order to decelerate the collar to zero radial velocity the moment when the collar reaches a radial position r = 0.19 m. Consider motion in a horizontal plane, such that gravity can be ignored. Provide only the numerical value (in Newtons) to zero decimal places and do not include the units in the answer box. Ur F m Vo Figure Q14: Rotating collar-shaft system
9
In the system shown in the figure, the spring stiffness k = 2 × 103 N/m and the total massof the system is m = 20 kg, the eccentric mass m0 = 0.2 kg, the eccentricity e = 0.1 m andthe rotation angular velocity of the unbalanced mass is ω1 = 20 rad/s. The applied force isF(t) = 15 sin ω2t with ω2 = 30 rad/s. Determine:(a) the steady state motion of the system;(b) the force transmitted in the spring and estimate the maximum value of the force
By determining the equivalent spring constant of the mass spring system given in the figure, we calculate the equation of motion undamped. write for the situation.
Q4: Consider the system shown in the figure. k = 250kN / m M c = 6000 N.s / m m =1000 kg m =2 kg e = 40 cm N=180 rpm a) Caleulate the force transmitted to the ground ( F, ) due to the rotating unbalance.
Find the motion equations of the system shown in the figure.