* A frog jumps at an angle
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- Two blocks are connected by a massless rope. The rope passes over an ideal (frictionless and massless) pulley such that one block with mass m1 = 12.25 kg is on a horizontal table and the other block with mass m2 = 7.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram. a.) Assuming friction forces are negligible, write an expression, using only the variables provided, for the acceleration that the block of mass m1 experiences in the x-direction. Your answer should involve the tension, T. b.) Under the same assumptions, write an expression for the acceleration, a2, the block of mass m2 experiences in the y-direction. Your answer should be in terms of the tension, T and m2. c.) Carefully consider how the accelerations a1 and a2 are related. Solve for the magnitude of the acceleration, a1, of the block of mass m1, in meters per square second. d.)Find the magnitude of the tension in the rope, T, in newtons.arrow_forwardWhen traveling on an airplane you get meals on a serving tray that has large coefficients of static and kinetic friction between the tray and dishes on it. Assume the airplane is moving from left to right. Assume also that the tray is parallel to the velocity of the airplane. c. Draw a force diagram for a cup on a serving tray as seen by a stationary observer on Earth if the airplane is on a runway and slowing down; the cup is sliding. Next to the force diagram draw an arrow that shows the velocity of the cup relative to the airplane.arrow_forwardDraw a diagram of the situation and label the givens in the problem: The cart's mass and the hanger's mass. Also label the direction of the cart and hanger's acceleration. Draw two force diagrams. One for the cart and one for the hanger. You can treat the track as frictionless. Remember that the force in the string will be the same throughout the entire string. Then define an x-y coordinate system and find the x and y components of the forces in your diagrams.arrow_forward
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