Question

a. draw the free-body diagram for M1 (include axis)

b. solve for a formula for the acceleration of the mass M1

c. if M1= 5kg and theta= 30 the acceleration of M1 is?

d. if the mass starts at the top and L= 10m what is the speed as it reaches the bottom of the inclined plane?

e. what will its kinetic energy be?

2. (6pts) For the ideal inclined plane shown below (greased with good Spanish olive oil so it's frictionless) with mass Mon it: Mi

Answer 1

(a)

Sine hLSine

(b)

$F_{y} = m_1g \sin \theta$

$a_y =\frac {F_y}{m_1}$

$a_y =g\sin \theta$

(c)

$a_y =g\sin \theta$

$a_y = (9.8\times \sin 30^{\degree})\: m/s^2 = 4.9\: m/s^2$

(d)

$v=\sqrt {2gh}=\sqrt {2\times 9.8\times 10\times \sin 30^{\degree}}\: m/s$

(e)

$K =\frac {1}{2}m_1v^2$

$K =\frac {1}{2}\times 5\times 9.89^2$