13-83. The ball has a mass m and is attached to the cord oflength I. The cord is tied at the top to a swivel and the ball isgiven a velocity vo. Show that the angle 0 which the cordmakes with the vertical as the ball travels around thecircular path must satisfy the equation tan 0 sin 0 = v3/gl.Neglect air resistance and the size of the ball.

Give data: The equation given is, tanθsinθ=v02gl. Draw the schematic diagram of the ball with all…

Answered: 13-83. The ball has a mass m and is…

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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The ball of mass m is guided along the vertical circular path r = 4cos(0)meters using the arm OA. If the arm has a constant angular velocity Ô00 = 1rad/s determine the angle 0 < 45° at which the ball starts to leave the surface of the semicylinder. Neglect friction and the size of the ball. Enter the angle in degrees in the box below.
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?
The horizontal force P = 40-10t N (t is the time measured in seconds) is applied to the 2- kg collar that slides along the inclined rod. 2 kg- -P = (40– 10r)N At time t = 0, the position coordinate of the collar is x = 0, and its velocity is vo = 3 m/s directed down the rod. Find the time T and the speed Sof the collar when it returns to the position x = 0 for the first time. Neglect friction.
400 mm The spring attached to the mass of m = 0. 5 kg sliding collar has a stiffness of k = 0.21 kN/m and a free length of 150 mm. If the speed of the collar in position A is 4 m/s to the right, determine the total energy and the speed of the collar in position B, Neglecet 100 mm friction. 200
The particle of mass m - 0.4 kg travels with constant speed vin a circular path around the conical body. Determine the tension T in the cord. Neglect all friction, and use the values h - 1.5 m and v- 0.86 m/s. For what value of v does the normal force go to zero? 0.5h h Answers: Ifv-0.86 m/s, T- If N-0, T 1.19h OE i V- i 0.7h N m/s
The ball of mass m is guided along the vertical circular path r = 4cos(0)meters using the arm OA. If the arm has a constant angular velocity 0o = 1rad/s , determine the angle 0 < 45° at which the ball starts to leave the surface of the semicylinder. Neglect friction and the size of the ball. Enter the angle in degrees in the box below. P
The 15-kg collar has a velocity of 10 m/s at A while travelling towards B along the smooth guide. The spring which is connected to the collar has an unstretched length of 125 mm and stiffness k= 57 N/m. Determine the collar's speed when it reaches point B, which is located just before the end of the curved portion of the rod. Take point B as the datum.
The smooth particle has a mass of100 g. It is attached to an elastic cord extending from O to Pand due to the slotted arm guide moves along the horizontal circular path r= (0.4sine) m. If the cord has a stiffness k = 100 N/m and an unstretched length of 04m. If the guide has a constant angular velocity é= 5 rad/s. The a, when e = 60° is :- 0.4 m. Select one: -10 m/s? 10 m/s? 16.32 m/s? -16.32 m/s?
The spring of constant k = 120 N/m is unstretched when the slider of mass m = 1.6 kg passes position B. If the slider is released fre rest in position A, determine its speed as it passes points B and C. What is the normal force exerted by the guide on the slider at position C? Neglect friction between the mass and the circular guide, which lies in a vertical plane. The distance R = 0.95 m. m B Answers Vg = m/s Vc= i m/s Nc=
The super-container vessel has a total mass displacement of 23000 long tons. This vessel towed by a tugboat with α=20⁰ angle with horizontal. If a constant tension is applied as F=320 kN by the tugboat, please calculate the time to bring the vessel to a speed of 2 knot from the rest. At these low speeds, please neglect the hull resistance that created by the motion. Note: (1 long tons = 1016.05 kg, 1 knot=1.151 mi/hr= 0.5144 m/s)
The box having a weight of 40 N is moving to the right along a roughsurface. When the package is at point A, its speed is 5m/s. The spring ofstiffness k=200 N/m brings the box to rest. It is known that the frictionbetween the box and the surface is 0.3, determine the maximum force inthe spring. Neglect the mass of the end plate attached to the spring.
The 5.27 kg collar B rests on the frictionless arm AA! The collar is held in place by the rope attached to drum D and rotates about O in a horizontal plane. The linear velocity of the collar B is increasing according to v = 0.2 t2 where v is in m/s and tis in seconds. Find the tension in the rope and the force of the bar on .the collar if 5 s,r= 0.558 m and 0 = 58° A A' D

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