homework2 - CE 222 ENGINEERING MECHANICS II FALL 2003 2004...

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CE 222 ENGINEERING MECHANICS II ( FALL 2003 – 2004 ) EXERCISE SHEET II ( http://www.ce.metu.edu.tr/~ce222 ) 1. The two 50 kg blocks are released from rest. Determine how long it takes block A to fall 1 m if m k =0.1 at all the contacting surfaces 2. Block B has a mass m and is released from rest when it is on top of cart A, which has a mass of 3 m . Determine the tension in cord CD needed to hold the cart from moving while B is sliding down A. the coefficient of kinetic friction between A and B is m k . 3. The coefficients of friction between blocks A and C and the horizontal surfaces are m s =0.24 and m k =0.20. Knowing that m A =5kg, m B =10kg and m C =10kg, determine (a) the tension in the cord, (b) the acceleration of each block. 4. In a manufacturing process, disks are moved from level A to level B by the lifting arm shown. The arm starts from level A with no initial velocity, moves first with a constant acceleration a 1 as shown, then with a constant deceleration a 2 , and comes to a stop at level B. Knowing that the coefficient of static friction between disks and the arm is 0.30, determine the largest allowable acceleration a 1 and the largest allowable deceleration a 2 if the disks are not to slide. 5. Small parts on a conveyer belt moving with constant velocity v are allowed to drop into a bin. Show that the angle µ at which the parts start sliding on the belt satisfies the equation gR s 2 sin * 1 cos ν α µ = = Where m s is the coefficient of static friction between the parts and the belt.
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homework2 - CE 222 ENGINEERING MECHANICS II FALL 2003 2004...

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