A spring AB of constant k=200kn/m is attached to a support at A and to a collar of mass m=200 gm. The unstretched length of the spring is l=0.6m. Knowing that the collar is released from rest at x0 = 80 cm and neglecting friction between the collar and the horizontal rod, determine :the magnitude of the velocity of the collar as it passes through point C. www A

A spring AB of constant k=200kn/m is attached to a support at A and to a collar of mass m=200 gm. The unstretched length of the spring is l=0.6m. Knowing that the collar is released from rest at x0 = 80 cm and neglecting friction between the collar and the horizontal rod, determine :the magnitude of the velocity of the collar as it passes through point C. www A

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 AB of constant k=200kn/m is attached to a support at A and to a collar of mass m=200 gm. The unstretched length of the spring is I=0.6m. Knowing that the collar is released from rest at x0 = 80 cm and neglecting friction between the collar and the horizontal rod, determine :the magnitude of the velocity of the collar as it passes through point C.
A 2 kg collar at A is given a downward velocity of 6 m/s on a smooth semicircular bar. The collar is attached to a spring with an unstretched length of 0.25 m. Use conservation of energy to a) Determine velocity of the collar at B, given spring constant k = 140 N/m
A prop shaft of a heavy-duty truck has two bearings which are positioned at 3 metres from each other. The shaft must rotate at 30 rad/s when the truck travels at the speed of 40 m/s. Such a shaft carries two masses of (MA = 10 kg) and (MB = 5 kg) acting at the extremities of the arms 0.45 m and 0.6 m long,respectively. The planes in which these masses rotate are 1.2 m and 2.4 mrespectively, from the left end bearing supporting the shaft. The angle between the arms is 60°. If the masses are balanced by two counter-masses (named X and Y) rotating with the shaft acting at a radius of 0.3 m and placed at 0.3 m from each bearing centre:2.1. Draw a diagram illustrating the position of masses on the shaft. 2.2. Calculate the dynamic force in Newtons. Tabulate the results. 2.3. Calculate the moment acting on the shaft in Newton-metre. Tabulate the results.
A locomotive consists of multi cylinder reciprocating engine running at a speed of 8 r.p.s having a stroke length of 25cm, which carries a mass of reciprocating part whose magnitude is 8kgs with a revolving part of 4kgs rotating at 17cm radius. If two third of the reciprocating parts and all the revolving parts are to be balanced, determine the following when the crank has rotated 560 from top dead centre to bottom dead centre. 1. Maximum primary unbalanced force of reciprocating mass in newtons 2. Balancing mass required at a radius of 35cm in kgs 3. Variation of maximum & minimum tractive force in newtons 4. Variation of maximum & minimum swaying couple for the given centre distance 72cm between the two cylinders in (N-m) 5.…
A prop shaft of a heavy-duty truck has two bearings which are positioned at 3 metres from each other. The shaft must rotate at 30 rad/s when the truck travels at the speed of 40 m/s. Such a shaft carries two masses of (MA = 10 kg) and (MB = 5 kg) acting at the extremities of the arms 0.45 m and 0.6 m long, respectively. The planes in which these masses rotate are 1.2 m and 2.4 m respectively, from the left end bearing supporting the shaft. The angle between the arms is 60°. If the masses are balanced by two counter-masses (named X and Y) rotating with the shaft acting at a radius of 0.3 m and placed at 0.3 m from each bearing centre:
The m-mass steel bullet was fired at a speed of 700 m/s towards the plate and separated from the plate at a speed of 550 m/s in line with the CD. The bullet is known to leave traces on the plate as far as c distance. Calculate the intensity and direction of the impulse force applied from the plate to the bullet, assuming that the average velocity along the contact between the bullet and the plate is 625 m/s. a = 22 degreeb = 11 degree m = 27g (grams)c = 47mm
A bullet B of mass mB traveling with a speed v0= 1200 m/s ricochets off a fixed steel plate A of mass mA. Let mA >> mBso that it can be assumed that mB/mA→0. If the incidence angle of the bullet is θ= 15◦ and the COR of the impact is e= 0.5, determine the rebound angle φ, as well as the bullet’s rebound speed. Use conservation lawmethods to solve the problem.
In a rocket, the kinetic energy imparted to the consumed and ejected fuel is wasted as far as propelling the rocket is concerned. The useful power is equal to the product of the force available to propel the rocket and the speed of the rocket. If v is the speed of the rocket and u is the relative speed of the expelled fuel, show that the mechanical efficiency of the rocket is η=2uv/(u2 + v2). Explain why η = 1 when u=v.
A spacecraft cruising in space at a constant velocity of 2100 ft/s has a mass of 24,000 lbm. To slow down the spacecraft, a solid fuel rocket is fired, and the combustion gases leave the rocket at a constant rate of 150 lbm/s at a velocity of 5000 ft/s in the same direction as the spacecraft for a period of 5 s. Assuming the mass of the spacecraft remains constant, determine the following: The deceleration of the spacecraft during this 5 s period. The change in velocity of the spacecraft during this time period. The thrust exerted on the spacecraft.
A 100-ft3 /s wáter jet hits a horizontally lying stationary splitter, such that half of the mass flow is diverted one way and the other half is diverted the other way, and both streams have a uniform velocity of 18 ft/s. The deflection angle of the splitter is 45 degrees as shown. Obtain (a) the cross-sectional area of the jet and (b) the horizontal (x-y) components of the force required to hold the splitter in place.
As demonstrated, a projectile is thrown at a velocity of v0 = 22 m/s from the floor of a 4.8-m-high tube. Determine the projectile's maximum horizontal range (m). Only the final answer stated in three decimal places is rounded off. Indicate the units used.
Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. Topic: Conservation of Energy Principle A 0.2-kg block slides along a frictionless curved pipe a shown. It is connected to a spring with a spring constant of k = 32.5 N/m . The uncompressed length of the spring is Lo = 1.5 m. Determine the speed of the spring at point 2 if it starts from rest at point 1.