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Telemetry technology is used to quantify kinematic values of a 200-kg roller-coaster cart as it passes overhead. According to the system, r = 25 m, r
Fig. P12.129
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- The rotation of a 90 cm long OA arm around point O is defined by the equation = 0.15t ^ 2. Here 0 → radyan ve It is measured as. Block B slides on the arm so that its distance from O is = 90 –12t ^ 2. It is expressed here as r → cm ve t → sn. Find the total velocity and total acceleration of the B block when the OA arm rotates 30 °.arrow_forwardVr A camera tracks the position of a particle moving along the given path with b = 10 m. At the moment shown, the camera angle is 0 = 40°, and the camera is rotating at 0.3 rad/s, which is accelerating at a rate 0 = 0.2 rad/s². What are the radial and transverse components of velocity and acceleration at this instant? Vo = Ar 0 ao = r = b sin(20) m/s m/s m/s² m/s² =arrow_forwardA 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?arrow_forward
- Use the formula x=1/32v² sin 2 theta to explain why the projection angle that maximizes the distance a projectile traves is theta=45° when ho=0. Find the horizontal distance traveled by a football kicked from ground level (ho=0) at speed v and angle theta.arrow_forwardFind acceleration U=23 m/s V=28.6 m/s t=2 sarrow_forwardAll collars slide freely. A = 5.0 ft/s downward at the instant shown. Using ICR, determine @AB and wCD. 8 dABZ: 24 in dABy: 18 in dac 12 in dacy=9 in dc12.in dBcy=9.in dcpr 4 in dcDy=dBcy B -12 in- 9 in 9 mmarrow_forward
- A steel ball is tethered to the end of a cable. The ball is attached to a spinning axle that causes the ball and cable to rotate in a vertical circle counter-clockwise. The ball moves in a circle of radius R=.50 m centered at a height of 5 m above a flat surface. The rate of rotation increases very slowly until the cable snaps. the cable snaps when ac=20 m/s2. (x=0 at center of circle) a) how long does it take for the ball to hit the ground after the cable snaps? b) Relative to the position of the axle over the floor, what is the horizontal displacement of the ball( magnitude and direction)? c) What is the magnitude and direction of the velocity with which the ball hits the ground?arrow_forwardIf a ball is thrown into the air with a velocity of 52 ft/s, its height in feet t seconds later is given by y = 52t – 16t2. (a) Find the average velocity for the time period beginning when t = 2 and lasting for each of the following. (i) 0.5 seconds 70 X ft/s (ii) 0.1 seconds 69.5 X ft/s (iii) 0.05 seconds 68.5 ft/s (iv) 0.01 seconds 70 X ft/s (b) Estimate the instantaneous velocity when t = 2. 70 X ft/sarrow_forwardThe position of an object moving along an x axis is given by x = 3t – 412 + , where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity for the time interval from t 2 s to t = 4 s? (g) Graph x versus t for 0arrow_forwardThe 2-1b spool slides along the smooth horizontal spiral rod, r = (20) ft, where is in radians, as shown in (Figure 1). At the instant = 90°, its angular rate of rotation is constant and equals 0 = 4 rad/s. Figure 8 = 4 rad/s 1 of 1 P Determine the horizontal tangential force P needed to cause the motion. Express your answer in pounds to three significant figures. IVE ΑΣΦ ↓↑ vec P= 6.244 Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining ? lbarrow_forwardAt a given instant the bottom A of the ladder has an acceleration a = 3.4 ft/s² and velocity VA = 7.0 ft/s, both acting to the left. (Figure 1) Figure 94°F Sunny 30º 16 ft 1 of 1arrow_forwardfor uniformly accelerated motion, the acceleration (a) a= constant a= 0 a= f(t)arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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