Problem 5: [2, 01-55] Determine the deflection of each spring from its unstretched length when the system shown is in equilibrium. Assume that in the absence of gravity the springs are unstretched in the equilibrium position. You must draw a separate free-body diagram on both the disk and the block.
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For the disk, the forces include the tension from spring \( k_2 \) and the tension from the string connected to the block. For the block, the forces include the gravitational force \( mg \) and the tension from spring \( k_1 \). Show more…
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Adi S.
Problem 1: The figure shows two springs attached to a block that can slide on a frictionless surface. In the block's equilibrium position, the left spring is compressed by 2.0 cm. a. What is the net force on the block? b. Draw a free body diagram of all the forces acting on the block. c. How much force is exerted on the block by the left spring? d. By how much is the right spring compressed? e. What is the net force on the block if it is moved 15 cm to the right of its equilibrium position? k1 = 10 N/m k2 = 20 N/m
5. The figure shows a bar suspended from a pivot p with a calibrated spring attaching the bar to the wall. The length of the bar is 0.970 m, its mass is 0.775 kg, and the tension measured by the calibrated spring is 3.25 N. Use the standard coordinate system with +x to the right and +y up the page. (a) Write the symbolic equation that represents equilibrium for the forces in the x-direction. (b) Write the symbolic equation that represents equilibrium for the forces in the y-direction. (c) Write the symbolic equation that represents equilibrium for the torques around point p. Please use ϕ = 45.0 degrees, θ = 63.0 degrees, g = 9.80 m/s^2, and calculate the horizontal and vertical components of the force the pivot exerts on the bar and the location of the center of mass of the bar, measured from the pivoted end.
Sri K.
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