Help With Vector Problems: Find Horizontal Velocity & Forces

AI Thread Summary
The discussion revolves around solving two vector problems related to motion and forces. In the first problem, the horizontal velocity of an arrow changes over four seconds, with participants suggesting the use of trigonometry to analyze the velocity components and determine vertical acceleration. The second problem involves a swing at rest, where the tension in the chain and the angle of pull are used to find other forces acting on the swing. Participants recommend drawing a free body diagram to visualize the forces involved. Overall, the focus is on applying trigonometric principles and free body diagrams to solve the problems effectively.
jampop
Messages
1
Reaction score
0

Homework Statement


Could anyone help me with these vector problems?

1. At the top of its flight, an arrow has a horizontal velocity of 35ms-1. Two seconds later its velocity is 40ms-1 at an angle of 29 degrees below the horizontal. After a further 2 seconds, it is moving at 53ms-1 at 49 degrees below the horizontal. What has happened to the horizontal velocity component during these 4 seconds? Use the vertical velcotiy components to find a value for the arrow's uniform vertical acceleraton. Comment on your value

2. A young child is enjoying a swing. When the swing stops, mum pulls it back wth a horizontal force through an angle of 25 degrees. In this position, the tension in the chain is 110N. Use the horizontal and vertical components of the tension in the chain to find the two other forces acting on the swing when it is at rest in this position

Homework Equations





The Attempt at a Solution


1. well for at the moment I've got 2 triangles? one with an angle of 29 and one with an angle of 49 with the adjacent at 35 I am just not sure what to do their to go onto the trigonometry

2. i have no clue on how to start this question
 
Physics news on Phys.org
1. You'll need to use some trig (sin and cos) to get the horizontal and vertical components of each velocity.

2. Draw a free body diagram for the swing, showing all forces acting on it. They tell you what the tension force (both magnitude and direction) is.

p.s. welcome to Physics Forums!
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top