I will name block a as Ma=5 kg, block b as Mb=10 kg and mass of the pulley M=3 kg and radius as R. Since the system will accelerate in the direction of the block b because it has greater mass, I will take that direction as positive. Both blocks and the pulley have the same acceleration because the slipping on the pulley is neglected. First, the equations of motion:
Mb*g-Tg=MbαR and
Ta-Ma*g=MaαR,
where Ta and Tb are the tensions of the cord, g=9.81 m/s^2 and α is the angular accereration. Also a=αR where a is the acceleration of the system.
Now the equation of rotational dynamics of a solid body:
(Tb-Ta)R=Iα=(1/2)*M*R^2*α, where (1/2)*M*R^2 is the moment of inertia of a disc.
When we input Tb=Mb*g - Mb*α*R and Ta=Ma*g + Ma*α*R from the first two equations into the third we get: (Mb*g - Mb*α*R - Ma*α*R - Ma*g)*R=(1/2)*M*R^2*α.
We solve for α and get: α=(Mb*g-Ma*g)/((1/2)*MR+Mb*R+Ma*R)=2.97 rad/s^2.
We know that a=α*R and we easily get a=0.4455 m/s^2
Answer:
Option 2
Explanation:
Weight of the box is being acted downwards due to gravity
However, based on Newton's third law (for every action (force) in nature there is an equal and opposite reaction), an equal force will act on the box by the table
Answer: 68.4 s
Explanation:
The plot points seem to indicate a 5 m/s increase in velocity in the 6 seconds between 2 and 8 second marks. This makes the acceleration
a = 5 / 6 m/s/s
At time zero, the velocity is 13 m/s, so we need to increase by
70 - 13 = 57 m/s
t = v/a = 57 / (5/6) = 68.4 s
Explanation:
there are 4 phases in which matter could be classified.
1. Solid: an example of this would be the metal copper.
2. Liquid: an example of this would be H2O or water.
3. Gas: an example of this would be oxygen gas or O2
4. Plasma: an example of this would be lightning.
hope this helps :)
Yes they do. A crystalline pattern as other ionic compounds have