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An accelerometer record for the motion of a given part of a
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Vector Mechanics For Engineers
- 6 Two cars A and B travelling at constant speeds are in the positions shown in Figure Q.6 at time t = 0. The velocity of A is 40 km/h and that of B is 60 km/h. Determine:(i) The velocity of A relative to B and the magnitude and direction of the velocity vector.(ii) The position vector of A relative to B as a function of time.arrow_forwardDynamics of Rigid Bodies problem:arrow_forwardThe planar two-link space-station assembly robot shown in Figure 1 consists of two identical links of lengths a = b=2 metres. (c) Derive expressions for the horizontal and vertical positions and velocities of point E in terms of 0,, 0,, 0, and Ô, . (i) (ii) For the case when 0, = 0.4 radians and 0, = 0.2 radians, and 0, = 0, = 0.6 radians/sec, calculate the position of point E, and the magnitude of the linear velocity of point E. E y b Xarrow_forward
- moments = 0) in order to determine a force or moment requires a complete free body diagram. Absence of a free body diagram may result in a grade of 'O' for the problem. %3D 1. The acceleration of a particle is directly proportional to time, t, i.e., a = at where a is a constant. At t = 0 s, the position of the particle is -150 mm. Knowing that v = 200 mm/s and x = 75 mm whent = 3 s, determine the position and velocity when t = 5 s.arrow_forwardHelp me please _II_ Two wires AC and BC are attached to a 7 kg sphere that rotates at constant speed v in the horizontal circle shown in the figure. If θ = 55 ° and θ = 30 ° and d = 1.4 m, determine the range of values of v for which both wires are held taut.arrow_forward1. please provide handwritten solutionarrow_forward
- An automobile P is traveling along a circular track of radius R=958.4 m. At position "A" on the track, the automobile has a speed of UA = 10.3 m/s. At this position, the driver of the automobile applies the brakes causing the speed of the automobile to change with distance s traveled along the track according to the following equation: U(S) = VA COS(0.001s) m/s (cos is in radians), where s is given in meters. Determine the magnitude of the acceleration for the driver when the automobile reaches position "B" on the track where "B" is a quarter of the distance around the track from position "A". R B O circular trackarrow_forwardPlease give me the correct answer, please. Thank you. This is my last attempt.arrow_forwardProblem (2): A The acceleration of point A is defined by the relation a = -1.8 sin(kx), where a and x are expressed in m/s² and meters, respectively, and k = 3 rad/m. Knowing that x = 0 and v = 0.6 m/s when t = 0, determine the following: (a) The symbolic equation of the velocity. (b) Position of point A when v = 0. C В Darrow_forward
- applied mechanics 2arrow_forwardFor the helicopter of Prob. 11.168, it was found that when the helicopter was at B , the distance and the angle of elevation of the helicopter were r= 3000 ft and 0= 20°, respectively. Four seconds later, the radar station sighted the helicopter at r= 3320 ft and 0= 23.1°. Determine the average speed and the angle of climb β of the helicopter during the 4-s interval.arrow_forwardA temperature sensor is attached to slider AB which moves back and forth through 60 in. The maximum velocities of the slider are 12 in./s to the right and 30 in./s to the left. When the slider is moving to the right, it accelerates and decelerates at a constant rate of 6 in./s2 ; when moving to the left, the slider accelerates and decelerates at a constant rate of 20 in./s2 . Determine the time required for the slider to complete a full cycle, and construct the v–t and x-t curves of its motion.arrow_forward
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