Answer:
4.535 N.m
Explanation:
To solve this question, we're going to use the formula for moment of inertia
I = mL²/12
Where
I = moment of inertia
m = mass of the ladder, 7.98 kg
L = length of the ladder, 4.15 m
On solving we have
I = 7.98 * (4.15)² / 12
I = (7.98 * 17.2225) / 12
I = 137.44 / 12
I = 11.45 kg·m²
That is the moment of inertia about the center.
Using this moment of inertia, we multiply it by the angular acceleration to get the needed torque. So that
τ = 11.453 kg·m² * 0.395 rad/s²
τ = 4.535 N·m
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Answer:
7.5 m
Explanation:
= initial speed of the ball = 8 m/s
= angle of launch = 40° deg
Consider the motion along the vertical direction :
= initial velocity along vertical direction =
= 8 Sin40 = 5.14 m/s
= acceleration along vertical direction = - 9.8 m/s²
= time of travel
= vertical displacement = - 1 m
Using the kinematics equation
![y = v_{oy}t + (0.5)a_{y}t^{2}](https://tex.z-dn.net/?f=y%20%3D%20v_%7Boy%7Dt%20%2B%20%280.5%29a_%7By%7Dt%5E%7B2%7D)
![- 1 = (5.14)t + (0.5)(- 9.8)t^{2](https://tex.z-dn.net/?f=-%201%20%3D%20%285.14%29t%20%2B%20%280.5%29%28-%209.8%29t%5E%7B2)
= 1.22 sec
Consider the motion along the horizontal direction :
= initial velocity along horizontal direction =
= 8 Cos40 = 6.13 m/s
= acceleration along vertical direction = 0 m/s²
= time of travel = 1.22 sec
= horizontal displacement = ?
Using the kinematics equation
![x = v_{ox}t + (0.5)a_{x}t^{2}](https://tex.z-dn.net/?f=x%20%3D%20v_%7Box%7Dt%20%2B%20%280.5%29a_%7Bx%7Dt%5E%7B2%7D)
![x = (6.13)(1.22) + (0.5)(0)(1.22)^{2](https://tex.z-dn.net/?f=x%20%3D%20%286.13%29%281.22%29%20%2B%20%280.5%29%280%29%281.22%29%5E%7B2)
= 7.5 m
Answer:
The forces are of the same magnitude just opposite directions
Explanation:
Newton's Third law tells us that if body A exerts a force on body B, then B exerts an equal but opposite force on body B. so as you continue to push the rock causing it to accelerate, the rock also continues to push back at you by an equal force in the opposite direction.
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