1028. The motion of a particle is governed by the relation a in feet per second' and t is in seconds. When t is zero, v = Find the values of v and s when t 4B, where a is :4 ft. 2 ft per sec and s 2 sec.
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- A body rotates according to the relation @=4t, where @ is in rads/s2 and t is in seconds. When t=0,w=2rad/s and @=0. Determine the values of w and @ when t=3 secondsDetermine the moment of inertia (in mm4) of the given figure with respect to x axis. Assume y=95 mm and z=59 mm. Round off only on the final answer expressed in whole number.in the system shown, determine the value of the force f if the coefficient of friction between the body and floor is 0.41. P is 264.87N
- 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.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)A roller coaster starts from rest at A, rolls along the track to B, describes a circular loop 12 m in diameter, and travels up and down past point E. Determine the range of values of h for which the roller coaster Russian will not leave the track at D or E. Assume no energy loss due to friction.
- The position of a particle is described by r = (t3 + 4t − 4) mm and θ = (t3/2) rad, where t is in seconds. Determine the magnitudes of the particle’s velocity in m/s at the instant t = 2s.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.In the figure shown,block B is pulled downwith a velocity of 0.3 m/s.Calculate the velocity ofblock A and determine thedirection of motion.
- 2. A particle moves along a straight line with the equation x=16t+4t2-3t3 where x is the distance in ft and t is the time in second. Compute the acceleration of the particle after 2 seconds?2. The cross section of a rectangular hollow beam is as shown in figure. Determine polar moment of inertia of the section about centroidal axes. [Izz= 1,54,45334 mm4]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?