From the figure, the arm whose edge is point B slides in the mount A, which rotates about a horizontal axis at O. If point B travels along the vertical line with constant speed Vg as shown, determine an expression for 0".
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- Determine the motion by providing the s-t and a-t graphsConsider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 7 in./sec, which is decreasing at the rate of 3 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 10 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. *********************ANSWER THIS PART ONLY************ Write the velocity and acceleration as vectors.v = (______ er + ______ eθ) in./seca = ( ______er + ______ eθ) in./sec2The collars ܣ and ܤ are joined by the 8-in. bar. Given that Va=0.3 m/s and aA= −0.6 m/s^2 when x=90mm, find the velocity and acceleration of B at this instant.
- IF A=is equal to 7kg and B=4kg ,and theta is 35 degrees Find the acceleration of the blocks and the force in the ropeFor the projectile shown on the figure, determine thefollowing at point B: c) The radius of curvature of the path and the tangentialcomponent of the acceleration.d) The radial and transverse components of position, velocity and acceleration.Aeroplane A is flying east at a speed of 600 km/h along the horizontal axis at theinstance shown in the figure below. Aeroplane B passes under A, with its nose pointed45° in the northeast direction. In the meantime, B is moving relatively away from A atan angle of 60° in the direction shown below. a) Draw the vector diagram denoting the relative motion of the aeroplanes. Clearlyannotate each vector to represent velocities of A and B, as well as the velocityof B relative to A. Indicate vector directions using arrows.b) Determine the velocity of B, and the velocity of B relative to A.c) As time progresses from this initial instance, the velocity of aeroplane Aincreases and is defined by v(t) = 4t2 + 2t + 600 km/h. Determine thedisplacement, velocity and acceleration of aeroplane A after 12 seconds.d) Determine the acceleration of B, and the acceleration of B relative to A, at thisnew time instance (t = 12 seconds) as defined in part (c).
- Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 5 in./sec, which is decreasing at the rate of 2 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 13 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. Write the velocity and acceleration as vectors.Answers:v = ( er + eθ) in./seca = ( er + eθ) in./sec2If the block at C is moving downward at 4 ft/s, determine theangular velocity of bar AB at the instant shown.The horizontal motion of the plunger and shaft is arrested by the resistance of the attached disk which moves through the oil bath. The velocity of the plunger is v0 = 3.1 m/s in the position A where x = 0 and t = 0, and the deceleration is proportional to v so that a = -kv where k = 0.32 s-1. Find (a) the velocity when t = 2.9 s, (b) the position x when t = 2.9 s, (c) the velocity when x = 4.2 m.
- In the arrangement in the figure, the reels 'a 'and 'b' are pulled at VA m/s and VB =12 m/s. since there is no friction between the block and the surfaces; a) find the velocity and acceleration of block c when roller a moves 60mm to the left and roller b moves 90mm to the right b) find the rope force acting on the cable. (a=30°)find an acceleration of the center of the beam (marked as a blue point) which is connecting both wheels , if it is known that linear velocity ot the wheels v=100km/h, r=0,8m and the distance drom the center of the wheel and the pont where the beam is connected (marked as red red distance)=0,4m, there is no slipping between wheels and the groundA Ferris wheel with radius 30 ft is decelerating such that at t = 0 s, the tangential speed of a point P on the rim is v=10ft/s and dv/dt = ct. c=-0.4ft/s^3 . What is the acceleration of P at t= 3 s?