1) Two packing crates of masses m 1 = 10.0 kg and m 2 = 7.40 kg are connected by
ID: 1356299 • Letter: 1
Question
1) Two packing crates of masses m1 = 10.0 kg and m2 = 7.40 kg are connected by a light string that passes over a frictionless pulley as in the figure. The 7.40-kg crate lies on a smooth incline of angle 38.0°. (a) Find the acceleration of the 7.40-kg crate. (up the incline) (b) Find the tension in the string.
2) A block of mass m = 5.0 kg is pulled up a = 21° incline as in the figure with a force of magnitude F = 38 N. (a) Find the acceleration of the block if the incline is frictionless. (b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.12.
3) An object with mass m1 = 3.60 kg, rests on a frictionless horizontal table and is connected to a cable that passes over a pulley and is then fastened to a hanging object with mass m2 = 11.3 kg, as shown in the figure.(a) Find the magnitude of the acceleration of each object a1 and a2. (b) Find the tension in the cable.
Explanation / Answer
here,
m1 = 10 kg
m2 = 7.4 kg
theta = 38 degree
(a)
the accelration a = (m1 *g - m2 * g * sin(38)) /(m1 + m2)
a = (10 *9.8 - 7.4 * 9.8 * sin(38)) /(10+7.4)
a = 3.07 m/s^2
the accleration of the 7.4 kg crate up the incline is 3.07 m/s^2
(b)
let the tension in the string be t
m1*g - t = m1 * a
10 * 9.8 - t = 10 * 3.07
t = 57.34 N
the tension in the string is 57.34 N
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