Rectilinear Motion: A particle is moving with an acceleration of a = (10t - 3) m/s^2 (t = seconds). Determine its position after t = 10 minutes. %3D
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- 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.A wheel 0.70 m in dianeter starts from rest and accelerates uniformly to an angular velocity of 80 rad/sec in 20 seconds. Find the angular acceleration in rad/s^2A 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?
- 1.The location of a certain particle that is only limited to move along a linear direction is given by S = 2t^3 – 24t + 6, such that the unit of s is in meters from an acceptable origin and t is measured in seconds. Solve for the following: -The time needed for that certain particle to attain a velocity of 72 m/s from rest when t = 0. -The acceleration of the particle when it reaches V = 30 m/s -Net displacement in meters from t = 1 second to t = 4 secondsThe 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.A commercial airliner with four jet engines, each producing 64 kN of forward thrust, is in a steady, level cruise when engine number 3 suddenly fails. Determine the distance d (measured up or down on the figure) to the resultant of the three remaining engine thrust vectors. Treat this as a two-dimensional problem. The distance d is positive if above the center line of the airplane, negative if below.
- 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?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.! Use the Given Data in Solving ! Rectilinear Motion: A particle travels in v = (12 - 3t^2) m/s, where t is in seconds. When t = 1 s, the particle is located 32.8 ft to the left of the origin. Determine the displacement (m) from t = 0 t = 10 s, and the distance (m) the particle travels during this time period.
- Given the acceleration-time diagram sketch the velocity-time diagram and determine the displacement at time=9s.A jet having a diameter of 50mm and a velocity of 15m/s is deflected 60degree by a curved vane. Determine the horizontal component of force if the vane is moving at 5m/s at the same direction as that of jet. Group of answer choices 17.89 78.91 98.17 89.71Fluid Mechanics The sliding a plate viscometer shown is used to measure the viscosity of a fluid. The top plate is moving to the right with a constant velocity of 10 m/s in response to a force of 3 N. The bottom plate is stationary. What is the viscosity of the fluid? Assume a thin filmlinear velociyt distribution.