The change which shows the best application of Newton’s laws of motion to achieve this goal is decreasing the mass.
<h3>What is Newton's second law of motion?</h3>
It states that the force F is directly proportional to the acceleration a of the body and its mass.
F =ma
or a = F/m
The mass and acceleration are inversely proportional to each other. If mass is decreased, then the acceleration is increased.
Thus, the mass should be decreased to increase the acceleration.
Learn more about Newton's second law of motion.
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Answer:
(A) 4.75 m/s^{2}
(b) 81.5°
Explanation:
radius (r) = 0.38 m
initial angular velocity (ω') = 1.5 rad/s
angular acceleration (α) = 2 rad/s^{2}
time (t) = 0.5 s
(A) tangential acceleration (a) = α x r
a = 2 x 0.38 = 0.76 rad/s^{2}
- radial acceleration (a') =
final angular velocity (ω) = ω + αt
ω = 1.5 + (2 x 0.5) = 3.5 m/s
a' = = 4.7 m/s^{2}
- total acceleration =
total acceleration = = 4.75 m/s^{2}
(B) tanθ
θ=
θ= = 81.5°
Answer:
T_ac = 6.586 KN
R = 10.51 KN
Explanation:
Given:
- Tension in cable T_ab = 9.1 KN
Find:
- Determine the required tension T in cable AC such that the net effect of the two cables is a downward force at point A
- Determine the magnitude R of this downward force.
Solution:
- Compute the three angles as shown in figure attached, a, B , y:
a = arctan (40/50) = 38.36 degrees
B = arctan (50/30) = 59.04 degrees
y = 180 - 38.36 = 82.6 degrees
- Use cosine rule to calculate R and F_ac as follows:
sin(a) / T_ac = sin(B) / T_ab = sin(y) / R
sin(38.36) / T_ac = sin(59.04) / 9.1 = sin(82.06) / R
T_ac = 9.1 * ( sin(38.36) / sin(59.04) )
T_ac = 6.586 KN
R = 9.1 * ( sin(82.06) / sin(59.04) )
R = 10.51 KN