i don't exactly know what they did there at t = 0 and x=24. Why didn't they just plugged the values in the integral like they did for t=6 and x = 96? Sorry if its not clear enough. My englissh is bad. I just dont know what they did there. Thank you in advance. PROBLEM 11.11The acceleration of a particle is directly proportional to the square of the time t. When t=0, the particle isat x = 24 m. Knowing that at t = 6 s, x=96 m and v=18 m/s, express x and v in terms of t.SOLUTIONWe haveNowAt t = 6 s, v=18 m/s:ororAlsoAt t=0, x= 24 m:orNowAt t = 6 s, x=96 m:orThenorandora=kt² k=constantdvdtSdv = "kt²dtv-18=k(t³ -=a=kt²dxdtv=18+k(f³-216)(m/s)==v=18+=k(t³ −23a = √[18+ 4(²-216)] dedxdtkx-24=18t+k1*-2161- 216)96-24=18(6)+(6)¹-216(6)3x-24=18t+x(t) =m/s41108v=18+v(t) =-216)39) = 2/7/²³ +10t-216t*+10t+24(t³-216)Solution Manual for "Vector Mechanics for Engineers -Dynamics," by F.P. Beer, E.R. Johnston, Jr., & P.J. Cornwell,Tenth Edition in SI Units, McGraw-Hill, 20136

The integral limits given are t=0, x=24m and t=6, x=96m

don't exactly know what they did there at t = 0 and x=24. Why didn't they just plugged the values in the integral like they did for t=6 and x = 96? Sorry if its not clear enough. My englissh is bad. I just dont know what they did there. Thank you in advance.

don't exactly know what they did there at t = 0 and x=24. Why didn't they just plugged the values in the integral like they did for t=6 and x = 96? Sorry if its not clear enough. My englissh is bad. I just dont know what they did there. Thank you in advance.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: 4. A Em tape weighs 0.0508 kg/m. During discipline measurements, the tape become subjected to a load…

Q: A cantiliver beam Cm long carries a uniformly distributed load of 18 kN/m throughout its length and…

Q: Show complete solutions in three decimal places. Where w=134

Q: PROBLEM 2: Compute the flow rate over each weir. Assume Cd-0.60 1 ft 0.5 ft 60° weir plate 95cm 75cm…

A: GIVEN DATA:-⇒Cd=0.60⇒θ=60°→Formulae Used:-(1) Flow rate for triangular weir is given by:-⇒…

Q: Find the Pressure and the total energy at the points A, .. , E 10m+ SFD Bx 100m 10m+SFD E 100m 60m…

Q: Solve the magnitude of the bar force of members AD, BD, CD, and CE

A: Answer Let us first draw the free body diagram and calculate the reaction at the supports Since…

Q: For the cross section shown below, with dimen- sions given in in., determine the moments of inertia…

A: since ,it is symmetrical about y-axis.therefore,x¯=0 from the figure,position of centroid of the…

Q: sn't it supposed to be 0.13 in c? I have used the solution of: 15C1 x (0.01)^1 x (0.99)^1-1 =…

A: Answer As per Normal distribution, We know that Probability that a one day rainfall of magnitude of…

Q: Find sequence of elementary matrices whore product is A= [1/2 -3 3/15. 2.

Q: Compute the coordinates of the centroid (x, y) of the area shown. a b | | a с d y Variable Value 45…

Q: P 1 m W = X N 1 ms = 0.4 5. Determine the normal force between the crate and the surface 6.…

Q: SITUATION: Use El = 4,200 kN-m² 30kN 20KN B 1.51 21 5m C 2m 4m 1. Find the deflection at B. 2. What…

Q: Q3. A vertical curve is to be designed to join gradients of -2 and -4% with the design speed of…

A: Stationing of PVI = 200+10 Elevation of PVI = 120ft Initial Grade G1 = -2% = b Final Grade G2 = -4%…

Q: Determine the magnitude of the resultant, its direction and position from point A. (3 decimal places…

Q: soil specimen (100 mm x 100 mm x 100 mm) is subjected to the forces shown. Determine the following:…

A: As per guidelines we need to answer only first 3 subparts of question so please repost rest…

Q: For the cross section shown, Analyze by using the concepts of shear stress, shear flow and shear…

A: Finding out eccentricity and shear force.

Q: Two wooden members of (25 b) (60 b)-mm uniform rectangular cross section are joined by the simple…

A: Given:- The cross-section of the two wooden pieces = 25×b×60×b mm2 The load on the wooden piece (P)=…

Q: Complete the table below. LINE BEARING DIST (M) AB N 68° 11.9' E 53.852 BC S 45° 0' E 28.284 CD S…

A: Answer Let us first calculate the latitude and departure of given lines To calculate the Latitude…

Q: Determine Poisson's ratio if a cylindrical rod is placed in tension as shown and it is elastically…

A: Given data : Original length (L)=200 mmOriginal diameter (D)=10 mmIncrease in length =0.02…

Q: O B=480 and n=9 B=580 and n = 10 B=260 and n = 11 B=360 and n = 7

Q: Apply equilibrium conditions in the horizontal and vertical planes: EF, = 0 N-Ncos 30° +0.3N cos 60°…

Q: The structural steel column shown in figure below is fixed at its base and free at its upper end. At…

A: Given e=9 in. E=29000 ksi σy=36 ksi P=(15+0.05R) kip a=0.50 in b=7 in. c=8in t=0.35 in. d=8in.

Q: Assessment 1. Using your knowledge in geometry and the second direction of making lines (Direction…

A: Assessment : 1 Using your knowledge in geometry and the second direction of making lines (Direction…

Q: i dont get where that 4 multiplied comes from

A: column is used to support the floor which exerts a force of 3000 lb on the top

Q: please

Q: =if e=0.538, then n 0.349 0.439 0.984 O 0.654 O 0.198 O

A: To find out the porosity of the soil when void ratio is 0.538.

Q: 3 seczx dx tanzx

Q: 4 kN/m A A (m) B (m)- 2 m Determine the horizontal reaction at A. (N) Determine the vertical…

Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

i don't exactly know what they did there at t = 0 and x=24. Why didn't they just plugged the values in the integral like they did for t=6 and x = 96? Sorry if its not clear enough. My englissh is bad. I just dont know what they did there. Thank you in advance.

PROBLEM 11.11
The acceleration of a particle is directly proportional to the square of the time t. When t=0, the particle is
at x = 24 m. Knowing that at t = 6 s, x=96 m and v=18 m/s, express x and v in terms of t.
SOLUTION
We have
Now
At t = 6 s, v=18 m/s:
or
or
Also
At t=0, x= 24 m:
or
Now
At t = 6 s, x=96 m:
or
Then
or
and
or
a=kt² k=constant
dv
dt
Sdv = "kt²dt
v-18=k(t³ -
=a=kt²
dx
dt
v=18+k(f³-216)(m/s)
==v=18+=k(t³ −2
3
a = √[18+ 4(²-216)] de
dx
dt
k
x-24=18t+k1*-2161
- 216)
96-24=18(6)+(6)¹-216(6)
3
x-24=18t+
x(t) =
m/s4
1
108
v=18+
v(t) =
-216)
39
) = 2/7/²³ +10
t-216t
*+10t+24
(t³-216)
Solution Manual for "Vector Mechanics for Engineers -
Dynamics," by F.P. Beer, E.R. Johnston, Jr., & P.J. Cornwell,
Tenth Edition in SI Units, McGraw-Hill, 2013
6

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Explanation

VIEW

Solution

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Subject: Dynamics of rigid bodies Topic: Connected Particles Box final answer Auto like
85% @ P 9:25 * ZAIN IQ liı. mechanics 2.pdf Q1: The three forces shown in Figure are required to cause a 250 N as a resultant acting horizontally through point A, determine the values of P. F and T. 1 cm 1 cm B C D
The position of a particle moving along the x-axis is given by x=t^3+3t^2 -9t-6, when t =1sec particle is 11m to the right of origin. (a) When t=2 sec, determine v and a. (b)During the time interval from t=0 to t=2sec, determine the v(ave) and v(ave )speed
Vector O is the resultant of vector M = 9.9i + 3.8j + -3.5k and an unknown vector N. Vector O is a vector in the positive z-direction only and has twice the magnitude of vector M. What is the magnitude of vector N? Express your answers in two decimal places.
1. The velocity of a particle which moves along the a linear reference axis is given by v = 2—4t-6t³, † is in seconds while v is in meters per second. Eval- uate the position, velocity and acceleration when t = 3 seconds. Assume an your own initial position and initial point in time. Further, set a variable for position as you see fit.
For the figure shown, determine the EI (area) under AB about point B using area –moment method. Express your final answer to the nearest whole number in N.m^3
PROBLEM NO. 4 A jetplane lands on the straight runway, originally travelling at 110 ft/s when s = 0. If it is subjected to the decelerations shown in the figure, determine the time t' needed to stop the plane. Construct the v-t and s-t graph to solve the problem. a (ft/s^2) 5 15 20 t (s) -3 -8
Show complete soln and formula
ANALYSIS OF DETERMINATE FRAMES (All final answers are express in two decimal places)Complete solutions. Solve completely the given frame below.
Solve it correctly
The velocity of a particle traveling along a straight line is v = (8t ^ 2 - 9t) * f * t / m * i * n , where t is in mins. s = 6m when t = 0min , determine the position of the particle when (a) t = 0.6min and (b) t = 0.2min .
Consider the velocity field, V = (x – 2y)i – (2x + y)j. What is the value of the stream function at the point (2,3)? Answer: