The equations for ideal projectile motion are given as: y(t) = y₁ − 12gt² + (vosin(0))t x(t) = x₁ + (v₂cos (0))t where: y(t) is the vertical distance and, x(1) is the horizontal distance traveled by the projectile in metres g is the acceleration due to Earth's gravity = 9.8 m/s2 and, is time in seconds. Let us assume that the initial velocity of the projectile vo = 50.75 m/s and e projectile's launching angle 0 = 5 radians. The initial vertical and horizontal positions of the projectile are given by yo = 0 m and x = 0 m. Give the values for a) y(t) and b) x(1) given t=0 to = 10 with 0.1 increments, representing time in seconds.

The equations for ideal projectile motion are given as: y(t) = y₁ − 12gt² + (vosin(0))t x(t) = x₁ + (v₂cos (0))t where: y(t) is the vertical distance and, x(1) is the horizontal distance traveled by the projectile in metres g is the acceleration due to Earth's gravity = 9.8 m/s2 and, is time in seconds. Let us assume that the initial velocity of the projectile vo = 50.75 m/s and e projectile's launching angle 0 = 5 radians. The initial vertical and horizontal positions of the projectile are given by yo = 0 m and x = 0 m. Give the values for a) y(t) and b) x(1) given t=0 to = 10 with 0.1 increments, representing time in seconds.

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

9. Two balls A and B of masses 100 grams and 300 grams respectively are pushed horizontally from a table of height 3 meters. Ball has is pushed so that its initial velocity is 10 m/s and ball B is pushed so that its initial velocity is 15 m/s. a. Find the time it takes each ball to hit the ground. b. What is the difference in the distance between the points of impact of the two ball on the ground? Formula Vx = Vo cos 0 Vy = Vo sin 0 – gt x = Vo cos et y = Vo sin Ot – gt2
Using an energy method of your choice, calculate the deflection at point B for the beam depicted in Figure 1. The second moment of area of the beam is I, with a Young's modulus E. Express the answer as a function of E, I, L and Mo. You must use an energy method and explain your steps. (You are of course free to use any other method to check your result) A B C L/3 L Figure 1: Statically determinate beam Mo X
The velocity of a particle moving along the x-axis is defined by V = x*3-4x*2+6x where V is in m/s and x is in m. Compune the acceleration when x = 2m. echers Answer with text and/or attachments pents
If a force, F = 20x (where x is in meter and F is in Newton) is acting on an object (at rest), then choose the correct options. 5 kg B 20x A Workdone by force in first 1 second is 546 Nm. D Smooth Correct Option Acceleration of the block is linearly varying with displacement. Correct Option Velocity of the object at t= 1 second is 14.78 m/s. Correct Option Displacement of the object at t= 1 second is 7.39 m. Correct Option
Consider the T-beam shown in (Figure 1). Suppose that a = 80 mm, b=160 mm, c = 10 mm. Figure < 1 of 1 Determine y, which locates the centroidal axis x' for the cross-sectional area of the T-beam. Express your answer to three significant figures and include the appropriate units. y = Submit Part B IT' = Submit Part C Value Determine the moment of inertia I. Express your answer to three significant figures and include the appropriate units. Request Answer Iy' = Value Request Answer Units Value Units ? Determine the moment of inertia Iy'. Express your answer to three significant figures and include the appropriate units. Units ? ?
Consider the beam shown in (Figure 1). Suppose that a = 160 mm, b=210 mm, c= 50 mm. Figure 1 of 1 a a Part A Determine the moment of inertia of the beam's cross-sectional area about the centroidal z axe. Express your answer to three significant figures and include the appropriate units. I₂ = Submit Part B Iy= μA Submit Value Determine the moment of inertia of the beam's cross-sectional area about the centroidal y axe. Express your answer to three significant figures and include the appropriate units. Units My Answers Give Up μA Value Units ? My Answers Give Up ? Provide Feedback Continue
Determine the force P needed to lift the load. Also, determine the proper placement az of the hook for equilibrium. Neglect the weight of the beam. Take that P -87 kN (Figure 1) Figure 100 mm 100mm 100 mm 1 of 1 > Part B Determine the proper placement of the hook for equilibrium Express your answer to three significant figures and include the appropriate units. Value Submit HÅ Provide Feedback Request Answer Units M
Problem 1. The rectangular area in figure (a) is split into three equal areas and arranged as shown in figure (b). Calculate the area moment of inertia about the x-axis for (a) and for (b). How many times larger is the area MOI for (b) compared to (a)? Use h = 200 mm and b = 60 mm. h 1123---x 2---x (a) (b)
Q6) The velocity of a fluid, V, in a pipe in (m/sec) can be given by ApD2 V = 32µl Where Ap is the change in pressure, D is the diameter of the pipe, u is the dynamic viscosity and L is the length of the pipe. Is this equation dimensionally homogenous or can be accepted as an empirical relation.
3. An object with mass 5 kg is launched at a thin steel sheet, fixed to the ground, of thickness 0.01 m. The object impacts the the steel sheet with an effective cross-sectional area of 10-³ m². Steel's Young's modulus, yield strength, and ultimate strength are given by E = 200 × 10⁹ N/m² Sy 250 × 106 N/m² 600 × 106 N/m² Su = respectively. Suppose that the object impacts the steel sheet in a com- pletely inelastic collision over an impact time of 0.2 s. (a) How quickly must the object be moving to cause a strain of 0.1%? (b) How quickly must the object be moving upon impact in order to permanently deform the steel sheet? (c) How quickly must the object be moving to rupture the steel sheet?
As shown in this figure are rigid bars supported by rods, what will be the equivalent value of P that can be applied if the maximum vertical displacement allowed is 5mm? ... Aluminum Rod L-2m A-500 mm E= 70 GPa A B Stoel Rod L- 2m A-300 mm E- 200 GPa D P 3m 3m A) 76.4 N B) 78.2 N 82.7 N D) 87.2 N
Question 1 A brass bar AB projecting from the side of a large machine is loaded at end B by a force P = 6000 N acting with an eccentricity e = 1.14 cm (Figure 1). The bar has a rectangular cross section with height h = 3 cm and width b = 1.5 cm. What is the longest permissible length Lmax of the bar if the deflection at the end is limited to 0.3 cm? (For the brass, use E = 110 GPa.) A Brass bar L Ab Figure 1 B P