17 May They range from vector algebra to magnetic fields. Shouldn’t be difficult, as they were given to us as weekly homework. I just left it till end
They range from vector algebra to magnetic fields. Shouldn't be difficult, as they were given to us as weekly homework. I just left it till end of semester, cause it's not my study profile, focusing on required courses instead. Now I need these done by someone.
Problem 3.46 A mass hangs at the end of a string. A second string hangs from the bottom of that mass and supports a mass. (a) Find the tension in each string when the masses are accelerating upward at .
(b) Find the tension in each string when the acceleration is downward. Ans. (a) 12.6 N and 9.45 N ; (b) 10.9N and 8.19 N.
Problem 3.47 A wagon is pulled along the level ground by a rope inclined at above the horizontal. A friction force of opposes the motion. How large is the pulling force if the wagon is moving with (a) constant speed and (b) an acceleration of ? Ans. (a) 35 N ; (b) 44 N
Problem 3.48 A box is released from the top of an incline that is long and makes an angle of to the horizontal. A friction force impedes the motion of the box. (a) What will be the acceleration of the box and (b) how long will it take to reach the bottom of the incline? Ans. (a) 1.3 m/s2 ; (b) 2.8 s
Problem 3.52 An inclined plane making an angle of with the horizontal has a pulley at its top. A block on the plane is connected to a freely hanging block by means of a cord over the pulley. Compute the distance the block will fall in starting from rest. Neglect friction. Ans. 2.9 m
Problem 3.55 Find the acceleration of the blocks in figure if friction forces are negligible. What is the tension in the cord connecting them? Ans. 3.3 m/s2 ; 13 N
the cord
Problem 1
Three vectors are given by
Find:
———————————————————————————————————————————-
Problem 2
Three vectors and form the right triangle.
,
Problem 1.
Three vectors are given by
Solution:
1)
2)
3)
Problem 2.
4
Calculate
Solution
β 90°
1.
2.
3.
4.
5.
6.
y
x
1)
2)
3)
4)
5)
6)
Homework.
Two vectors and have components:
(a) Find the angle between and .
,
,
Problems on Magnetic Field.
Problems 3. Projectile Motion.