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  • Two carts, A and B, are connected by a rope 39 ft long that passes over...

    Two carts, A and B, are connected by a rope 39 ft long that passes over a pulley P (see the figure). The point Q is on the floor h = 12 ft directly beneath P and between the carts. Cart A is being pulled away from Q at a speed of 3 ft/s. How fast is cart B moving...

  • Suppose that you loft the ball with an initial speed of v = 15.2 m/s, at...

    Suppose that you loft the ball with an initial speed of v = 15.2 m/s, at an angle of θ = 49.2° above the horizontal. At this instant your opponent is d = 10.0 m away from the ball. He begins moving away from you 0.250 s later, hoping to reach the ball and hit it back at the moment...

  • The member OA of the industrial robot telescopes and pivots about the fixed axis at point...

    The member OA of the industrial robot telescopes and pivots about the fixed axis at point O. At the instant shown, θ = 67°, θ˙ = 2.0 rad/s, θ¨ = 0.85 rad/s2, OA¯ = 0.99 m, OA¯˙ = 0.43 m/s, and OA¯¨ = -7.4 m/s2. Determine the velocity v and acceleration a of joint A of the robot. The base...

  • 100 mm А B 75 mm C 100 mm x mm At the instant shown, bar...

    100 mm А B 75 mm C 100 mm x mm At the instant shown, bar BC has a constant angular velocity of 3.2 rad/s counter clockwise. Given x = 163 mm. Using relative velocity and acceleration analysis, determine: (c) the angular acceleration (magnitude and direction) of the plate. rad/s2 Check (d) the acceleration (magnitude) of point B relative to...

  • Problem 4 - Rigid Body Kinetics (20 pts) The uniform 12-kg square panel is suspended from...

    Problem 4 - Rigid Body Kinetics (20 pts) The uniform 12-kg square panel is suspended from point C by the two wires at A and B. if the wire B suddenly breaks, an instant after the break occurs, calculate С (a) (7 pts) the angular acceleration of the panel. (b) (7 pts) the tension T in the wire at A....

  • PROBLEMS for Great Theorems SOME MISSING EUCLIDEAN PROPOSITIONS One thing that some people find surprising about...

    PROBLEMS for Great Theorems SOME MISSING EUCLIDEAN PROPOSITIONS One thing that some people find surprising about Book 1 of the Elements is not the familiar propositions that appear but the familiar ones that are omitted. Everyone may have his or her own "favorite" that appears nowhere in Euclid, but the following are mine: 16. Prove a result sometimes called "Playfair's...

  • The slotted link is pinned at O, and as a result of the constant angular velocity...

    The slotted link is pinned at O, and as a result of the constant angular velocity ??= 3 rad / s it drives the peg P for a short distance along the spiral guide r= ( 0.4 ? ) m, where ? is in radians. Part A) Determine the radial component of the velocity of P at the instant ?=?...

  • 13. A metal bar of height 20cm lying in the plane of the page is moved...

    13. A metal bar of height 20cm lying in the plane of the page is moved through a magnetic field at a speed of 0.2m/s towards the right (see the figure below). The field has magnitude 0.5T and points out of the page. The charge separation induced in the bar is the same as would be caused by an EMF:...

  • Select the appropriate answer(s) to the following questions: (12 pts.) Select the appropriate answer(s) to the...

    Select the appropriate answer(s) to the following questions: (12 pts.) Select the appropriate answer(s) to the following questions: (1 pt.) If ū is the velocity of a positive charge "+q" and it is subjected to a magnetic field B, determine the direction of the magnetic force acting on the charged particle (check all that applies) Into the page Out of...

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