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?

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?

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

5th Edition

ISBN:9781305084766

Author:Saeed Moaveni

Publisher:Saeed Moaveni

Chapter8: Time And Time-related Variables In Engineering

Section: Chapter Questions

Problem 29P

See similar textbooks

Similar questions

a. Set up the equations of motion that is required to solve the problem. b. Determine the magnitude of W in the figure so that the 200 lb. body will have an acceleration up the plane of 4.025 fps^2
The circular disk of radius r = 0.40m rotates about a fixed axis through point O with the angular properties omega w= 2.2 rad/s and alpha a= 3.3 rad/s 2 with directions as shown in the figure. Determine the instantaneous values of the velocity and acceleration of point A.
The position of a particle moving along the x-axis is given by x (t) = 5.0 - 2.0t m. (a) at what time does the particle cross the origin? (b) what is the displacement of the particle between t = 4.0 s and t = 8.0 s?
3. A vertical piston-cylinder device on the left containing a gas has a mass of 40 kg and a cross-sectional area of 0.012 m². The local atmospheric pressure is 95 kPa, and the gravitational acceleration is 9.81 m/s². Determine the absolute pressure (kPa) inside the cylinder. (2 decimal)
1.The position of a particular particle as a function of is given by r=(8.5t i+5.6j-2t 2k )m (a) Determine the particle’s velocity and acceleration as a function of time. (b) Find the instantaneous velocity and acceleration of the particle at t=3.0 s. Question 2 . At t=0, a particle starts from rest and moves in the xy space with an acceleration a=(4 i+6 2 j)m/s . Determine (a) the velocity and position of the particle as a function of time. (b) evaluate the speed and position of the particle at t=5.0 s.
A solid sphere of diameter 1m and average mass density of 780kg/m3 is completely submerged in a tank filled with water. It is held in place by a string attached to the bottom of the tank, as shown. The mass distribution inside the sphere is non-uniform, so the center of mass lies at a distance 0.50R from the geometric center. Suppose that the sphere is attached rigidly to a massless horizontal rod of length 0.75m and negligible volume oriented along the line formed by the center of mass and the geometric center of the sphere, as shown. The rod is attached on the side of the sphere nearer the center of mass, and the far end of the rod is attached to a fixed pivot. What is the buoyant force acting on the sphere? What is the tension in the string that is needed to hold the sphere in place? What is the reaction on the pivot?
Write F if true and T if false 4. a Gravimeter measures the Gravity Field to determine changes in rock density in the Earth’s crust
The 5-kg ball A revolves at a constant speed ? in a horizontal circle as shown in Figure Q2. If ? = 50° and ? = 7.9m. Explain how r and the mass of the ball should be adjusted if the speed of the ball is to be increased.
Situation 2: The displacement (in meter) of a particle moving along x - axis is givenby x=At^2 + B , where A = 2m and B = 3m. Calculate average velocity between t =3sand t = 5s.Situation 2: Calculate instantaneous velocity at t = 5sSituation 2: Calculate instantaneous acceleration.
The velocity of a particle moving along the x-axis is given by the function v (t) = 2t^3 + 15 for t > 0. Find the total distance traveled by the particle from t=2 to t=4.
What is the mass moment of inertia in the y-axis in the following figure? The mass of the solid is 1500 kg
Show the complete solution and the necessary graphs/diagrams. Use 2 decimal places in the final answer. The rotation of the 0.9-m arm OA about O is defined by the relation Eq. (1), where θ is expressed in radians and t in seconds. Collar B slides along the arm in such a way that its distance from O is Eq. (2), where r is expressed in meters and t in seconds. After the arm OA has rotated through 30°, determine the relative acceleration of the collar with respect to the arm (m/s^2).