11.13 The acceleration of a particle is defined by the relation a = A 6,where A is a constant. At t = 0, the particle starts at x = 8 m withE = 0. Knowing that at t = 1 s, v = 30 m/s, determine (a) thetimes at which the velocity is zero, (b) the total distance traveledby the particle when t = 5 s.11.14 It is known that from t = 2 s to t = 10 s the acceleration of aparticle is inversely proportional to the cube of the time t. Wheni = 2 s, v = -15 m/s, and when t = 10 s, v = 0.36 m/s. Knowingthat the particle is twice as far from the origin when t = 2 s as itis when t 10 s, determine (a) the position of the particle whent = 2 s and when t = 10 s, (b) the total distance traveled by theparticle from t = 2 s to t = 10 s.11.15 The acceleration of a particle is defined by the relation a = -k/x.It has been experimentally determined that v = 15 ft/s whenx = 0.6 ft and that v = 9 ft/s when x = 1.2 ft. Determine(a) the velocity of the particle when x = 1.5 ft, (b) the position ofthe particle at which its velocity is zero.%3D%3D

As per bartleby guidelines we have to answer one one question when mutliple question asked. Please…

11.13 The acceleration of a particle is defined by the relation a = A 6, where A is a constant. At t = 0, the particle starts at r = 8 m with D = 0. Knowing that at t = 1 s, v = 30 m/s, determine (a) the times at which the velocity is zero, (b) the total distance traveled by the particle when t = 5 s.

11.13 The acceleration of a particle is defined by the relation a = A 6, where A is a constant. At t = 0, the particle starts at r = 8 m with D = 0. Knowing that at t = 1 s, v = 30 m/s, determine (a) the times at which the velocity is zero, (b) the total distance traveled by the particle when t = 5 s.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The velocity of a particle traveling in a straight line is given by v = (2t - 6t ²) m/s, where t is in seconds. If s = 0 when t = 0, determine the particle’s (a) position and (b) acceleration when t = 16 s.
5. A 2-kg wrecking ball attached to a spring with a force constant of 30 N/m oscillates on a frictionless, horizontal air track. At t=0, the wrecking ball is released from rest at x=-3 cm (that is, the spring is compressed by 3 cm). Find the maximum speed in m/s.
The motion of a particle moving in a horizontal direction is described by its position x(t). Determine the position, velocity, and acceleration at t=1.5s ifc) x(t) = 10sin(10t) + 5e5t
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
A plane motion of a particle is described in polar coordinates as R = 0.75 + 0.5t2 (m) and θ=πt2/2 (rad), where t is measured in seconds. Find the magnitudes of the acceleration when t =2.83s.
11.15
PROBLEM NO. 4 A particle travels along a path described by the parabola, y = 0.5x². The x-component of velocity is given by, vx = (7t)ft/s. When t = 0,x=y= 0. Find the particle's distance from the origin and the magnitude of its acceleration when, t = 1s.
In a boat race, boat A is leading boat B by 50m and both are traveling at a constant speed of180 km/h. At t=0, the boats accelerate at constant rates. Knowing that when B passes A, t=8s and vA= 225 km/h, determine (a) the acceleration of A, (b) the acceleration of B.
The motion of a particle is defined by the relation x = 2t4 – 6t3 + 3t + 3, where x and t - are expressed in meters and seconds, respectively. Determine the time, the = 0. position, and the velocity when a = 0.
12 round off the answers to four decimal places
DYNAMICS OF RIGID BODIES