.Block A of mass 30 kg is resting on Block B of 15 kg and both blocks are connected via a
light and inextensible cable, which runs over a light and smooth pulley. Determine the
tension, T, in the cable and the acceleration of Block B, aB, as it moves up the inclined
plane.
Answers
The tension in the cable and the net acceleration of the block B are 291.814 newtons and 0.112 meters per square second, respectively.
How to determine the tension and the acceleration of block B
Based of the representation seen in the image, an external force moves the block A downwards and the block B moves upwards and with an net acceleration of same magnitude due to the cable. By Newton's laws we construct the free body diagrams for each mass and that can be seen in the image seen below.
The motion equations are described below:
Mass A
250 N - 0.4 · Na - T + (30 kg) · (9.807 m / s²) · sin 30° = (30 kg) · a (1)
Na - (30 kg) · (9.807 m / s²) · cos 30° = 0 (2)
Mass B
- T + 0.4 · Na + 0.3 · Nb + (15 kg) · (9.807 m / s²) · sin 30° = - (15 kg) · a (3)
Nb - Na - (15 kg) · (9.807 m / s²) · cos 30° = 0 (4)
By (2):
Na = (30 kg) · (9.807 m / s²) · cos 30°
Na = 254.793 N
By (4):
Nb = 254.793 N + (15 kg) · (9.807 m / s²) · cos 30°
Nb = 382.190 N
Then, we have the following system of linear equations:
T + (30 kg) · a = 250 N - 0.4 · Na + (30 kg) · (9.807 m / s²) · sin 30°
T + 30 · a = 295.188
T - (15 kg) · a = 0.4 · Na + 0.3 · Nb + (15 kg) · (9.807 m / s²) · sin 30°
T - 15 · a = 290.127
The solution of the linear system is T = 291.814 N and a = 0.112 m / s².
To learn more on Newton's laws: https://brainly.com/question/27573481
#SPJ1
Related Questions
Does anybody know what this is? Where it came from and how to get it back into my laptop
Answers
Using the image attached, the part of the laptop that is known to be broken is the hing e. You can get it back by taking it to a laptop repairer who will replace it or glue it back if is not bad.
What is laptop hing e?A laptop is known to be made up of a lot of components. The hing e is known to be a type of object that functions by connecting two solid parts of the laptop so that they can be rotated in regards to each other with some specific angle that exist between them.
Note that In laptop hing e is a tool that helps to give laptop screen the ability to be rotated with regards to the base panel.
Therefore, its function is to also helps screen to be in a state of full rest or it helps it to rest on the laptop base panel when it is said to not be in use.
Hence, Using the image attached, the part of the laptop that is known to be broken is the hing . You can get it back by taking it to a laptop repairer who will replace it or glue it back if is not bad.
Learn more about laptop from
https://brainly.com/question/14394380
#SPJ1
2. Two charges 160μC and -250μC are placed together at a distance of 150 centimeter apart. Find the force of attraction between each other. Also explain the nature of the force [Repulsing force = +ve, Attraction force = -ve]
Answers
The answer is -0.016 N, and as it negative, the nature of the force is attractive.
Finding the force of attraction
Coulomb's Law is given by :
[tex]\boxed {F = \frac{kq_{1}q_{2}}{r^{2}}}[/tex]
Solving
F = 9 × 10⁹ × 160 × 10⁻⁶ × -250 × 10⁻⁶ / (150 × 10⁻³)²F = -360000 × 10⁻³ / 22500 × 10⁻⁶F = -16 × 10⁻³F = -0.016 N