35. A block of mass m = 2 kg is attached to the ends of two identical springs and rests on a frictionless surface, as shown. No force act on both springs in the position shown. If the mass is moved a little to the right and then released, what will be the frequency of the oscillation? k = 200 N/m WWwww k = 200 N/m m A) 3.50 Hz B) 1.60 Hz C) 1.75 Hz D) 2.25 Hz

35. A block of mass m = 2 kg is attached to the ends of two identical springs and rests on a frictionless surface, as shown. No force act on both springs in the position shown. If the mass is moved a little to the right and then released, what will be the frequency of the oscillation? k = 200 N/m WWwww k = 200 N/m m A) 3.50 Hz B) 1.60 Hz C) 1.75 Hz D) 2.25 Hz

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

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#4 Vibration question Complete solution and correct units pls. Thanks
x.lt) I X₂ (t) www. ²k₁ = k m₁ =m į k₂ck M₂=M k3=2K TITT The spring constants are K₁=k, K₂= 3k, K₂=2k a) find the natural frequencies of vibration. b) Determine the mule shape ratios.
Q8. In the inverted crank-slider shown, link 2 is the input and link 4 is the output. If 0₂0₁ = 27 cm and O₂A = 18 cm, then the total swinging angle of link 4 about O, is found to be: a) 45° b) 72.3⁰ c) 83.6° d) 89.4° e) 60° f) None of the above Q9. The time ratio of this mechanism is found to be: a) 1.828 b) 3.344 c) 2.735 d) 1.5 e) 2.115 f) None of the above ОА Q10. Assume that in the position shown, link 2 rotates at 10 rad/s hence causing link 4 to rotate at 4 rad/s. If the torque on link 2 is 100 N.m, then by neglecting power losses, the torque on link 4 is: c) 500 N.m a) 250 N.m b) 375 N.m d) 650 N.m e) None of the above. ros Im] 3 A Re
2. A 20-kg crate hanging at D is supported by a horizontal spring AB and a cable AC, as shown. Determine the tension Tc in the cable AC. 0.8 m 40° 0000000000000000 B k = 2000 N/m A) T 392.4 N = C) T=305.233 N AC B) T = = 233.822 N D) T = 196.2 N AC A AC
A=Ai+Aj |4=√√A,²+A₂² Problem 1 (a). b) c) d) Ya 30° 60° F, 20 kN F, X 16 KN Three forces, F1, F2, and F3, act on a bracket. The magnitude of F3 is 10 kN. If the resultant force, R acts along the x- direction (horizontal), determine the direction angles of the Cartesian force vector, F3. Determine the magnitude of the resultant force, R. A₁ = 4 cos a A, = 4|cos B cos² a + cos² B=1 Determine the FORCE vector, F3 FORCE vector, F1 =__ FORCE vector, F2 = Determine the direction angles, a and ß of the force, F3 [HINT: find 3 first] FORCE vector, F3=_ Determine resultant force vector, R FORCE vector, R= B= α= kN kN O O kN KN
5- According to the question in the figure H =? A) 600 N B) 2266,667 N C) 1666,667 N D) 1500 N E) 1000 N
5
The 15 kg collar is given a downward velocity of 4 m/s when it is at A. If the spring has an unstretched length of 1 m and a stiffness of (K = 30 N/m). 4 m/s 7) What is the velocity of the collar at s = 1? a) 13.3 m/s e) 2.8 m/s b) 4,2 m/s f) 17.5 m/s c) 15.3 m/s g) None of them www d) 6.8 m/s
How did they get these answers for b) and c) ?
• A spring is stretched 0.300m when a 0.600kg mass is placed at the end of the spring. The spring is then placed horizontally with its mass of 0.600 kg at rest on a frictionless table. The mass is pulled so that the spring stretches 0.200 m from the equilibrium point, and is released from rest. Determine a) the value of the spring constant K b) angular frequency c) the magnitude of the horizontal oscillation d) maximum velocity e) the magnitude of the velocity when the mass is 0.5m from equilibrium f) the magnitude of the acceleration maximum of the mass and finally f) period.