Question

TIPER #3 (justify your answer mathematically - solve for F and T in terms of variables and compare them) B3-CT35: BLOCKS MovING AT CONSTANT SPEED-FORCE ON BLOCK A block is moving to the right across a rough table at a constant speed of 2 m/s. The tables and the blocks are identical in the two cases. In Case A, the block is pushed with a stick and in Case B, the block is pulled with a string. The angle that the applied force makes with the horizontal is the same in both cases. 2 m/s Will the magnitude of the force on the block by the stick in Case A be (i) greater than, (ii) less than, or (iii) equal to the tension on the block by the string in Case B? Case A T 2 m/s Explain your reasoning. Case B

Answer 1

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to on tems CORO - Msino Note In both cases the obiect is moving with - a Constant speed, acceleration zol SOM case A fsino Equating vertical forces. F Coro Fsino + ing = N -0 I TIN Equating Horizontal Forces To ng Foro - MN 20 - Free Body Diagram Putting the value of w-in-eavation on FOXO . = M (ksinoting) - F= lng Case B case B El | Eavating vertical forces Toro Tsino + N = mg GT Cavating Hopeizontal. Forey Two - MN20 - Free Body Diagram Putting the value of N from Equation ( to equation y. T CORO - M (mg Tsino) F ung th 2010 + isine Hence Hence The Force in case A (F) will be Greater than the force in case B (T .. IFT option (i) is the Answer. MN