An overhead view of part of a pinball game is shown. If the plunger imparts an initial speed of 3.8 m/s to the ball at time t = 0, determine the acceleration a of the ball (a) at time t = 0.10 s and (b) at time t = 0.21 s. At point F, the speed of the pinball has decreased by 12% from the initial value, and this decrease may be assumed to occur uniformly over the total distance traveled by the pinball. Use the values r = 200 mm and 0 = 54°

An overhead view of part of a pinball game is shown. If the plunger imparts an initial speed of 3.8 m/s to the ball at time t = 0, determine the acceleration a of the ball (a) at time t = 0.10 s and (b) at time t = 0.21 s. At point F, the speed of the pinball has decreased by 12% from the initial value, and this decrease may be assumed to occur uniformly over the total distance traveled by the pinball. Use the values r = 200 mm and 0 = 54°

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 particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 6.3t2 - 7.0t and y = 4.3t2 - t°/4.0. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t = 3.0 s. Answers: When t = 3.0 s, mm/s, i %3D V = mm/s?, 0x = i
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.
Answer An 1. A laboratory prototype model is moving along a circular path having a radius of 4.0mm, such that its position as a function of time is given by e = cas2t, where u is in radians and r is in seconds. Determine the magnitude of the acceleration of the particle when 6- 35°. A laboratory prototype car model travels along the circular curve of radius r-40m with a constant speed of v= 30m/s. Determine the angular rate of rotation of the radial line r and the magnitude of the car's acceleration. Page 1 of4
Your answer is partially correct. A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x = 1.5t2 - 5.2t and y = 2.3t2 - t/5.8. Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis when t= 1.4 s. Answers: When t = 1.4 s, mm/s, O, = i V = 5.51757 46.4108 4.3512 mm/s?, e, a = 46.4108
6(a) The y-coordinate of a particle in curvilinear motion is given by y = 4.5t3 - 5.9t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by ax = 9.6t in./sec2. If the velocity of the particle in the x-direction is 12.9 in./sec when t = 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t = 1.4 sec. Construct v and a in your solution.
In an archery test, the acceleration of the arrow decreases linearly with distances from its initial value of 14500 ft/sec² at A upon release to zero at B after a travel of 33.0 in. Calculate the maximum velocity v of the arrow. Answer: v= i BI 33.0" ft/sec
A temperature sensor is attached to slider AB which moves back and forth through 60 in. The maximum velocities of the slider are 12 in./s to the right and 30 in./s to the left. When the slider is moving to the right, it accelerates and decelerates at a constant rate of 6 in./s2 ; when moving to the left, the slider accelerates and decelerates at a constant rate of 20 in./s2 . Determine the time required for the slider to complete a full cycle, and construct the v–t and x-t curves of its motion.
Problem 16 Particles A and B are traveling counter-clockwise around a circular track at constant speed vo. If at the instant shown the speed of A is increased by dv/df = bs4, determine the distance measured counterclockwise along the track from B to A when t = tj. What is the magnitude of the acceleration of each particle at this instant? Given: m vo = 8 2 b = 4 s tį = 1 s B r = 5 m e = 120 deg
2. A car starts from rest and accelerates uniformly to a speed of 60 km/hour over a distance of 510 meters. (i) Calculate the acceleration and time taken. (ii) If a further acceleration raises the speed to 94 km/hour in 10 seconds, find the acceleration and further distance moved. (iii) The brakes are now applied and the car comes to rest under uniform retardation in 5 seconds. Find the retardation of the car and the distance travelled during this retardation.
Q6. As shown in the image below, two objects, A and B, are connected using the cable and pulley system. (The cable and pulley system is friction-less and weight-less.) If at this moment the acceleration of object Bis downward 2.3 m/s², determine the acceleration of object A (in m/s²2) at this moment. In this problem, downward motion is considered positive, and in your answer, negative sign must be included if the motion of A is upward. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. A B VB
A particle moves along a circular path of radius r = 350mm. If its angular velocity is 0 31² where t is in seconds, determine the magnitude of the particle's acceleration when @=45°. The particle starts from rest when 0 0° Select one: O A. a = 2.57 m/s² ÓB. a = 3.4 m/s² OC. a = 2.99 m/s² OD ar 3.97 m/s2 O A
Homework 2: Example (10): The box slides down the slope described by the equation (y- o.05 x) m, where is in meters. If the box has x components of velocity and acceleration of vx-3 m/sec and ax- -1.5 m'sec', at x- 5m, determine the y components of the acceleration of the box at this instant. Homework 2: Complete the solution to find the value of acceleration (ау)? (The answer ay 0.15 m/sec y=0.05 O O D