ES 3 STATICS OF RIGID BODIES                                               CHAPTER 5 LECTURE 2 (BELT FRICTION)                                                          1ST SEMESTER 2022-23
BELT FRICTION – When a belt or band passes over a rough pulley,                                                                              PROBLEM 2
    the tensions in the belt or band on the two sides of the                                                                                 Determine the largest mass of cylinder A that can be supported
    pullewill be different.                                                                                                                    from the drum if a force P = 20 N is applied to the handle of the
                                                                                                                                               lever. The coefficient of static friction between the belt and the
                                                                                                                                               wheel is 0.3. The drum is pin supported at its center, B.
                                                                                                                                             PROBLEM 3
                                                                                                                                             The box B weighs 50 lb. The coefficients of friction between the
                                                                                                                                                cable and the fixed round supports are fs = 0.40 (static) and fk
                                                                       PROBLEM 1                                                                = 0.30 (kinetic).
                                                                       As shown a flexible belt placed around a rotating drum of 120         a. What is the minimum force F required to support the box?
                                   μβ                                    mm radius acts as a brake when the arm ABCD is pulled down
                      T 1 =T 2 e                                                                                                             b. What force F is required to move the box upward at a
                                                                         by the force P. The coefficient of kinetic friction between the          constant rate?
Where:                                                                   belt and the drum is 0.2.
 T1 – Larger tension (tight side)       μ = coefficient of friction        a. Determine the force P that would result in a breaking
 T2 – Smaller tension (slack side)      β = angle of contact, in                torque of 12000 N- mm assuming that the drum is
                                             radians.                           rotating counterclockwise.
                                        e = 2.71828…                       b.
                                                                                                                                                                       PREPARED BY:
                                                                                                                                                           ENGR. MELVYN MCARTHUR R. TATING
                                                                                                                                                                  Assistant Professor 2
CATANDUANES STATE UNIVERSITY                                          COLLEGE OF ENGINEERING AND ARCHITECTURE                              Lecture Notes by : ENGR. MELVYN MCARTHUR R. TATING