- #1
Priyadarshini
- 191
- 4
Homework Statement
Homework Equations
The Attempt at a Solution
Using parallel lines I got the angle as theta.
The components of weight are mgcostheta and mgsintheta and there is tension acting in the string.Suraj M said:Identify the forces on the pendulum bob through components of mg using theta
Suraj M said:Could you draw a diagram to represent those forces on the bob,?
What is providing this force N on the bob?Priyadarshini said:
The tension in the string has components too. So T sin alpha=mgSuraj M said:Since it's in free fall along the plane I think you should take a pseudo force along that line of motion(##mg\sin\theta##)
Extend the length of the pendulum and label ##\alpha## I think you can proceed from there.
Right answer, but I am baffled by your path to it.Priyadarshini said:The tension in the string has components too. So T sin alpha=mg
Sin alpha = 1
So, alpha is 90.
Thank you!
Alpha is the angle between the string and the roof. The tension in the string will be mg, wouldn't it? Because it'll be the mass of the bob and g will be acting on it.haruspex said:Right answer, but I am baffled by your path to it.
I assume you are taking alpha as the angle between the string and the roof. If so, T sin alpha is not mg. And to perform your next step, you somehow had to have that T=mg. Where did that come from?
Alpha is the angle between the string and the roof. The tension in the string will be mg, wouldn't it? Because it'll be the mass of the bob and g will be acting on it.haruspex said:Right answer, but I am baffled by your path to it.
I assume you are taking alpha as the angle between the string and the roof. If so, T sin alpha is not mg. And to perform your next step, you somehow had to have that T=mg. Where did that come from?
Two forces act on the bob, the tension in the string and mg. You don't yet know what direction the tension is in. Also, the bob is accelerating, so the net force is not zero.Priyadarshini said:Alpha is the angle between the string and the roof. The tension in the string will be mg, wouldn't it? Because it'll be the mass of the bob and g will be acting on it.
But won't the vertical component of tension be T sin alpha anyway? And the vertical components need to be balanced. But then which force would I equate it to?haruspex said:Two forces act on the bob, the tension in the string and mg. You don't yet know what direction the tension is in. Also, the bob is accelerating, so the net force is not zero.
What you do know is that there is no acceleration perpendicular to the plane, so the forces must balance in that direction. But that still leaves you with two unknowns, T and alpha. So you need to use the known downplane acceleration of the system.
The component of the tension perpendicular to the roof will be T sin alpha, but that is not vertical.Priyadarshini said:But won't the vertical component of tension be T sin alpha anyway? And the vertical components need to be balanced. But then which force would I equate it to?
Suraj M said:The component of gravitational force perpendicular to the inclined plane? Did you consider that? Relate that to the tension
Can I do this:haruspex said:The component of the tension perpendicular to the roof will be T sin alpha, but that is not vertical.
The vertical components must balance if the acceleration has no vertical component, but it will have.
That works if you change all occurrences of 'horizontal' to ... what?Priyadarshini said:mgsintheta is the horizontal weight component and the horizontal component of T acts in the same direction as it. The -mgsintheta is from the pseudo force that acts on the block.
The angle made by a pendulum is the angle between the pendulum's resting position and its position at any given point during its swing.
The angle of a pendulum is typically measured using a protractor or other angle measuring tool. The angle is measured from the pendulum's resting position, with 0 degrees being the vertical position and 90 degrees being the maximum swing.
The angle of a pendulum can be affected by several factors, including the length of the pendulum, the weight of the pendulum bob, and the force of gravity. Other factors such as air resistance and friction can also impact the angle of a pendulum.
The angle of a pendulum and its period (the time it takes to complete one swing) are inversely related. This means that as the angle increases, the period decreases and vice versa. This relationship is known as the law of isochronism.
The angle of a pendulum affects the potential and kinetic energies of the system. As the pendulum swings, it moves between potential energy (at the highest point) and kinetic energy (at the lowest point). The higher the angle, the more potential energy the pendulum has, and the lower the angle, the more kinetic energy it has.