question 5 and 6 from dynamics I need to show all work step by step problems Qu. 5 A particle is moving along a circular path having a radius of 4 in. such that its position as a functionof time is given by 0 = cos 2t, where 0 is in radians and t is in seconds. Determine the magnitude of theacceleration of the particle when 0 = 30º.Qu. 6 A block moves outward along the slot in the platform with a speed of ŕ = (4t)m/s, where t is inseconds. The platform rotates at a constant rate of 6 rad/s. If the block starts from rest at the center,determine the magnitudes of its velocity and acceleration when t = 1 s.= 6 rad/s

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Answered: Qu. 5 A particle is moving along 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

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Subject Dynamics
3. The spatial motion of a particle is described by X = 3t 2 + 4t y = -4t 2 + 3t Z = -6t +9 where the coordinates are measured in feet and the time t is in seconds. (a) Determine the velocity and acceleration vectors of the particle as functions of time. (b) Verify that the particle is undergoing plane motion (the motion is not in a coordinate plane) by showing that the unit vector perpendicular to the plane formed by v and a is constant.
Dynamics of Rigid Bodies problem:
Q.1 An object moves along the x-axis according to the equation x (1) =~ 3t +12t 6. where tis in seconds. For the time interval t=0 to t=3 s, (1) find the acceleration: (2) calculate the distance traveled: and (3) determine the displacement of the particle.
3. A particle is moving along a circular path of radius 300 mm. If its angular velocity is 0= (21?) rad/s, where t is in seconds, determine the magnitude of the particle's velocity and acceleration when t = 2 s. Hint: Let the center of the circular path be the origin. It follows that the radius r is a constant. Recall the formulas: v = re, +re, = (#-rö" )e, + (r®+ 2r®)e, a = The slotted arm OA rotates about point O with constant angular velocity e. The motion of the pin B is constrained such that it moves on the fixed circular surface and along the slot OA. Determine the magnitudes of the velocity and acceleration in terms of p and 0. v = re, +rde, = (F -ro² )e, + (r®+ 2re )e, 4.
Normal and tangential components-relate to x-y coordinates A race car enters the circular portion of a track that has a radius of 65 m. When the car enters the curve at point P, it is traveling with a speed of 120 km/h that is increasing at 5 m/s^2 . Three seconds later, determine the x and y components of velocity and acceleration of the car. I need help with finding the y component of the total acceleration. I had put -32 but its incorrect. but i keep getting figures around that number
A particle moves along a circular path of radius 300 mm. If its angular velocity is 0 = 3t? wheret is in seconds, determine the %3D magnitudes of the particle's velocity and acceleration when 0 = 60°. The particle starts from rest when 0 = 0° %3D Select one: A. V = 0.77 m/s and a = 2.57 m/s? B. v = 1.08 m/s and a = 3.97 m/s? C. v = 0.93 m/s and a = 3.4 m/s2 D. v = 0.89 m/s and a 2.99 m/s2 %3D
The y-coordinate of a particle in curvilinear motion is given by y = 8.3t3 - 5.4t, where y is in inches andt is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 10.6t in./sec?. If the velocity of the particle in the x-direction is 13.0 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 1.7 sec. Construct v and a in your solution. %3D Answers: When t = 1.7 sec, V = i in./sec a = in./sec2
• 1. A particle position given by s(t) = 4 t2 - 32 t +36 with s in meters and t in seconds. At what position does the particle come to a # 1 %3D momentary stop to reverse its motion? par • 2. A particle moves in a straight line such that for a short time its velocity is defined by V = ( 4t3 + 3t2 seconds. Determine its position and acceleration when t = 3 s; 2t) ft/s, where t is in %3D %3D he when t = 0, S = 0 %3D e pa he particle for wertical disola reach the ground tance that the paticle travel haght of the paratle, he t lury paricle when the bonzonl distence i 70 m dislmce whn the hayht uf the paricle is %23
5. A two-stage missile is fired vertically from rest with the acceleration shown. In 15 s the first stage A burns out and the second stage B ignites. Plot the v-t and s-t graphs which describe the two- stage motion of the missile for 0 < t < 20 s. a (m/s²) 25 18 15 20 (s)
4. A particle is moving along a circular path having a radius of 4 in. such that its position as a function of time is given by 0 = cos 2t, where is in radians and t is in seconds. Determine the magnitude of the acceleration of the particle when 0 = 30°.
Find the distance covered by object A in 10 seconds . Its initial velocity V1 = 15 m/s and its acceleration 2 m/s2 : You can use the formulae V2 - V1 = at V22 - V,² = 2 a s S = V, t + 0.5 a t2 :Choose the correct answer :Select one a. 250 m b. 30 m c. 1800 m d. 450 m

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