siya and shivansh are examining the forces within a cart and hanging mass system. They construct the following apparatus in the lab. The pulley is frictionless while the surface between the desk and cart has a coefficient of friction of 0.7.

m1 = 1.45kg and m2 = 2.00kg

Find (a) the magnitude of the acceleration of the cart and the hanging object below

(b) the magnitude of tension in the string.

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Ex 2) In the following diagram, m, = 10 kg and my = 20 kg and the coefficient of kinetic friction between m, and the counter top is 0.25. Assume the string has no mass. a) Find the acceleration of the masses and the tension in the string. 10 kg m , T a = a;= -a 2 0 10a, =T-24.5 2 20a, = T-196 FX = MKFN 10a = T- 24.5 - 209 = T-196 T= 24.5+ 10a F = 0.25 ( 10 92) mz T= 196-20a For = 24.5 8 24.5 + 10a = 196 - 20a ty=mg 30a = 196-24.5 = 20(98 ) = 196 30a = 171.5 a = 5. 72 m/8 # T= 24. 5+10a T= 24.5+ 10(5.72) T= 24.5+572 T= 617 N