Answered: The position of a particle is defined…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The position of a particle which moves along a straight line is defined by the relation x = t3 − 6t2 − 15t + 40, where x is expressed in feet and t in seconds. Determine: the time at which the velocity will be zero,the position and distance traveled by the particle at that time, and .the distance traveled by the particle from t = 4s to t = 6s.
1. The motion of a particle is defined by the relation x = t3 – 6t² + 9t + 5, where x is expressed in feet and t in seconds. Determine (a) when the velocity is zero, (b) the position, acceleration, and total distance traveled when t= 5 s.
The equation of motion of a particle is s = 8t2 + 3t – 10, where s is in meters and t in seconds. Find the velocity at the point of origin (in m/s).0
The motion of a particle is defined by the parametric equations ax =0.8t, ay =2–0.3t, az =5 where “a” is in m/s2 and t in seconds.The particle is at rest and is placed at the origin at t = 0. What is the acceleration of the particle after 10 seconds? What is the velocity of the particle after 10 seconds?
Motion of a particle is defined by the relation x = t4 -10t2 + 8t +12, where x and t are expressed in meters and seconds, respectively. The acceleration is zero when t equal to_ a. 1.29 s b. 1.67 s c. 2 s d. 0
ENGINEERING MECHANICS
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The motion of a particle is defined by the relation x =t4 -10t2 +8t + 12, where x and t are expressed in inches and seconds, respectively. Determine the position, the velocity, and the acceleration of the particle when t=1 s.
The acceleration of a particle is defined by the relation a = 3e 02t, where a and t are expressed in ft/s? and seconds, respectively. Knowing that x = 0 and v = 0 at t = 0; %3D Determine the position in feet of the particle when t = 10 s. %3D
The x-coordinate of a particle in curvilinear motion is given by x - 4.8t3-2.7t where x is in feet and t is in seconds. The y-component of acceleration in feet per second squared is given by ay = 2.9t. If the particle has y-components y = 0 and vy = 3.8 ft/sec when t = 0, find the magnitudes of the velocity v and acceleration a when t = 4.8 sec. Sketch the path for the first 4.8 seconds of motion, and show the velocity and acceleration vectors for t = 4.8 sec. Answers: V= a= i i ! ft/sec ft/sec²
The coordinates of a particle undergoing plane motion are x = 15- 2t2 y = 15 – 10t + t² meters where t is in seconds. Determine the velocity in 3 seconds. meters
The curvilinear motion of a particle is defined by v= 50 16t and y = 100 - 4t2, where v, is in meters per second, y is in meters, and t is in seconds. It is also known that x = 0 when t = 0. Plot the path of the particle and determine its velocity and acceleration when the position y= 0 is reached.

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The position of a particle is defined by s=6t²-8+40cosπ where s and t are expressed in inches and seconds respectively. Determine the position,velocity and acceleration when t=6 seconds