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

A spring having original length of L1 is constricted by the 4 cords having length of L2. So, those cords keep spring compressed when there is nothing on the platform. Box having mass of m is placed on the platform, at the same time pushing platform further down by L3 meters. Afterwards, the platform is released from rest. Determine the height h the box rises in the air. Stiffness of spring is K=150 N/m. neglect the mass of the platform and the cords.
The spring constants are k1 = 140N / m, k2 = 240N / m and the unstretched lengths of the springs are 0.3 m. If the 6 kg ring is released from rest from point A, calculate its velocity when it reaches point B. According to the given datum line, the total potential energy (Ve) at point A is A = 1116.86 J and the total elastic potential energy (Ve) at point B is B = 370.8 J. Neglect the dimensions of the bracelet. (L1 = 0.90 m, L2 = 1.80 m, h1 = 1.20 m and h2 = 2.40 m)
A body weighing 445 N is drawn along a rough surface. The force applied in the direction of motion is 135 N while the frictional force is 90 N. if there is an air resistance whose magnitude (in N) is equal to twice the velocity (m/s) at any instant, assume the body to start from rest.Determine the displacement at any time, t.
Determine the time required that the elevator travels at any instant at a distance of 8 meters. The weight of the elevator is 10,000 N moving downward from rest until its velocity is 15 m / sec. (sec.) 2. In Problem 1, determine the force exerted in the cable to support the elevator. (kN)
In the equilibrium position, the 30 kg cylinder causes a static deflection of [60] mm in the coiled spring. If the cylinder is depressed an additional [45] mm and released from rest, calculate: The position , velocity and acceleration of the cylinder at t = 1.2 s.
Q2: The 0.5-kg cylinder A is released from rest from the position shown and drops the distance h; = 0.8 m. It then collides with the 0.4-kg block B; the coeffi- cient of restitution is e = 0.8. Determine the maxi- mum downward displacement ks of block B. Negleet all friction and assume that block B is ini- tially held in place by a hidden mechanism until the collision begins. The two springs of modulus % = 400 N/m are initially unstretched, and the dis- tanced = 1.0m.
The two springs are identical, withunstretched length 0.4 m. When the 150-kg mass issuspended at B, the length of each spring increases to0.6 m. What is the spring constant k?
The spring has an unstretched length of 0.4m and a stiffness of 200N/m. The 3 kg sliderand attached spring are released from rest at A and move in the vertical plane. (a) Computethe change in elastic potential energy from A to B. (b) Compute the change in gravitationalpotential energy from A to B. (c) Compute the velocity of the slider as it reaches B in theabsence of friction.
The 5 kg cylinder is released from rest in the postion shown in the figure below. Determine the maximum compression xmax of the spring. The stiffness of the spring is 1800 N/m.
The 0.31-kg mass slides on a frictionless wire that lies in the vertical plane. The spring attached to the mass has a free length of 80 mm and stiffness of 0.13 N/mm. Calculate the smallest value of the distance b so that the mass will reach the end of the wire at B after being released from rest at A.
The 4-lb collar is compressed against a spring a distance of 6 inches and then releasedfrom rest. The spring can be considered elastic and has a constant of k = 10 lb/in. Thespring is not adhered to the collar, and can be considered massless, so it will notextend into tension. Plot the acceleration of the collar as a function of x for x = 0 to 7 inches.What is the velocity as the collar leaves the spring?
A mass of ¼-slug is attached to a spring and stretched 1.28 ft from its natural length. From the equilibrium position, the weight is started in motion with an initial velocity of 4 ft/sec in the downward direction. Determine the equation of motion when the force due to air resistance is twice the velocity in pounds.