The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 9.75t+2.25t² -0.55t³ and y = 5.77 + 18.72t - 3.45t2, where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and acceleration a of the particle when t = 7 s. Also, determine the first time that the velocity of the particle makes an angle of 31° with the Dositive x-axis. Answers: V= a = t= i i+ i+ MI j) mm/s j) mm/s²

The rectangular coordinates of a particle which moves with curvilinear motion are given by x = 9.75t+2.25t² -0.55t³ and y = 5.77 + 18.72t - 3.45t2, where x and y are in millimeters and the time t is in seconds, beginning from t = 0. Determine the velocity v and acceleration a of the particle when t = 7 s. Also, determine the first time that the velocity of the particle makes an angle of 31° with the Dositive x-axis. Answers: V= a = t= i i+ i+ MI j) mm/s j) mm/s²

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter6: Fundamental Dimensions And Units

Section: Chapter Questions

Problem 49P

See similar textbooks

Similar questions

Given the acceleration-time diagram sketch the velocity-time diagram and determine the displacement at time=9s.
22 - Find the center of gravity M of the three dimensional homogeneous wire ABCD using the coordinate set (x, y, z) in the figure. The dimensions of the wire are a = 24 cm, b = 36 cm. Which of the following is the correct coordinate of the homogeneous wire on the y axis?A) 28,29B) 20,57C) 21.61D) 23,57E) 27.33
Determine the slope and vertical displacement of point A on the beam shown in the accompanying illustration. Use Conjugate Beam Method. E = 200,000 MPa
Calculate the horizontal and vertical displacement of point B. Rod cross-sectional areas A = 1050 mm2 E=220 Mpa
h) the value of displacement at point C. Enter your answer in mm to 3 decimal places.
The rectangular plate is rotating about its corner axis through O with a constant angular velocity? = 10 rad/s. Determine the magnitudes of the velocity v and acceleration a of the corner A by (a) using the scalar relations and (b) using the vector relations.
A rock is thrown under a bridge at an initial speed of 10 m s − 1 and an angle of 36.9 degrees from the vertical, as shown. At the same time, a boat is passing under the bridge traveling 6 m s − 1 in the direction shown. See the note on the formula sheet about the values of trigonometric functions for this angle. a) Find the vertical and horizontal components of the initial speed of the rock seen by a person on the bridge. Clearly indicate your choice of axes in your drawing. b) Find the vertical and horizontal components of the initial speed of the rock seen by the person in the boat. Clearly indicate your choice of axes in your drawing. c) Draw a clear vector diagram showing how to relate the speed with which the rock appears to be moving when viewed from the bridge, the speed with which the rock appears to be moving as seen by the person on the boat and the speed of the boat with respect to the bridge.
SOLVE AREA METHOD. NOT BY FORMULA METHOD THEN PLOT IT AND GET THE COORDINATE PER 1 SECOND. a) Determine the acceleration per one second.b) Determine the velocity per one second if the initial velocity is V1 m/s.c) Determine the displacement per one second if the initial displacement is S1 m
6.Calculate the deflection at D in mm. No need to type the sign and the unit of your answer.0 7. Calculate the slope at D in radians. Express your answer in x10-3. No need to type the sign and the unit of your answer.0 8. Calculate the deflection at E in mm. No need to type the sign and the unit of your answer.0
1. Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x+y=2 and the coordinate axes.
Determine the area moment of inertia of the area about the x axis. Then, using the parallel-axis theorem, find the area moment of inertia about the x' axis that passes through the centroid C of the area. y̅ = 120 mm.
Find the following using the photo below. e. If a = 2 m/s2, determine v at s = 4 m if v = 3 m/s at s = 0.f. If a = 4 m/s2, determine s when t = 3 s if v = 2 m/s and s = 2 m when t = 0.g. When t = 0 the particle is at A. In four seconds it travels to B, then in another six seconds it travels to C. Determine the average velocity and the average speed. The origin of the coordinate is at O.