Question 11 Block 1 (mass = m 1 ) is connected by and ideal cord over an ideal p

Question

Question 11

Block 1 (mass = m1) is connected by and ideal cord over an ideal pulley to block 2 (mass = m2) on a frictionless inclined plane as shown.

a) Draw free body diagrams for both blocks. Include all the forces acting on each and specify a coordinate system for each.

b) Find the acceleration of block 1 in terms of m1, m2, %u03B8 and g. c) Find the tension in the cord in terms of m1, m2, %u03B8 and g.

QUESTION 12

A cannonball is shot from a cliff of height h=115 m with a velocity of 65.0 m/s at an angle of 35.0o. (a 10 pts)

B)What is the maximum height which the cannonball reaches (relative to the top
of the cliff)?

C)What is the horizontal distance X which the cannonball travels before hitting point P?

Explanation / Answer

a) USE FREE-BODY TO FIND THE ACCELERATION force on m2= 2.1 * g -T = 20.6-T acc = (20.6 -T) / 2.1 acc of m1= T/ 3.5 (20.6 -T) / 2.1 =T/ 3.5 20.6-T = 0.6T T = 12.875N acc = 3.68 m/s^2 OR YOU CAN USE THE FOLLOWING TO FIND THE ACCELERATION MORE STRAIGHT FORWARD (EAZY METHOD): system mass = 3.5 + 2.1 = 5.6 kg acceleration of the two blocks after they are released = force / mass = 2.1 * 9.81 / 5.6 = 3.68 m/s^2 b) u=0; a= 3.68; t =1.6 v=u+at v= 0 + 3.68 * 1.6 v = 5.89 m/s the velocity of the first block 1.6 s after the release of the blocks c) s=ut +0.5 at^2 s = 0 + 0.5 * 3.68 * 1.6^2 s = 4.71 m block 1 moved during the 1.6-s interval d) t=0.75 s1 = 0 + 0.5 * 3.68 * 0.75^2 s1 =1.04 m

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