so gravity is in the vertical direction down.
and acceleration is in the horizontal direction straight to the right
and mass is at angle theta from the y axis?
Homework Statement
Two masses are connected by a light string that goes over a light, frictionless pulley, as shown in the figure. The 8.7-kg mass m1 is released and falls through a vertical distance of h = 1.09 m before hitting the ground. Use conservation of mechanical energy to determine...
Homework Statement
A 7.3 kg object hangs at one end of a rope that is attached to a support on a railroad car. When the car accelerates to the right, the rope makes an angle of 7.8 degrees with the vertical, as shown in the figure below.
(attached)
What is the acceleration of the...
Homework Statement
A box is raised using a rope. If the acceleration of the box, is 5.2 m/s2 (upward) and the tension in the rope is 58 N, what is the mass of the box (in kg)?
Homework Equations
The Attempt at a Solution
I thought T=ma would work, but yeah, it didn't.
Homework Statement
An aircraft takes off at 213 km/h after accelerating from rest at 2.86 m/s2. What is the minimum runway length required?
Homework Equations
The Attempt at a Solution
I know it's super simple, but I can't figure it out. I know I have to convert 213km/hr to m/s...
So if
M2: T-mg=ma
Then T-(4.5)(9.81) = (4.5)(3.09)
Then T=58.05 ?
And if
M1: mgsin20+u-T = ma
then
m(9.81)(sin20) + .450 - 58.05 = 3.09m
so m = 217.35kg
but the homework says that's not right.