blocks A and B weigh 10 lb and 40 lb,
respectively. A and B extend over a fixed drum, one on reach side.
Determine the acceleration of
A and the tension in the cord if
the fixed drum is smooth.
well, the net pulling force to one side is 30lb.
F=ma solve for a. I am not certain if what you are using for mass units, I assume slugs, so m=50lb/32.2 slugs
a= 30*(32.2/50) ft/sec^2
IT is much easier to use the SI system, Frankly, I am wondering just what is going on.
To determine the acceleration of block A and the tension in the cord, we can analyze the forces acting on both blocks.
Since the fixed drum is smooth, there is no friction involved, and we can ignore any effects due to it.
Let's assume that block A is moving downwards with acceleration "a" and the tension in the cord is "T".
For block A:
The weight of block A is 10 lb, acting downward.
The tension in the cord is T, acting upward.
For block B:
The weight of block B is 40 lb, acting downward.
Now, let's consider the forces acting on block A:
1. Weight of block A (acting downward) = 10 lb
2. Tension in the cord (acting upward) = T
The net force acting on block A is:
Net Force = T - Weight of block A
Net Force = T - 10 lb
According to Newton's second law, the net force on an object is equal to the mass of that object multiplied by its acceleration. In this case, the mass of block A is 10 lb, and the acceleration is "a".
Using Newton's second law, we can write the equation as:
T - 10 lb = (mass of block A) * a
T - 10 lb = (10 lb) * a
Now, let's analyze the forces acting on block B:
1. Weight of block B (acting downward) = 40 lb
The net force acting on block B is equal to the weight of the block B:
Net Force = Weight of block B
Net Force = 40 lb
According to Newton's second law, the net force on an object is equal to the mass of that object multiplied by its acceleration. In this case, the mass of block B is 40 lb, and the acceleration is also "a".
Using Newton's second law, we can write the equation as:
40 lb = (mass of block B) * a
40 lb = (40 lb) * a
Now, we have a system of two equations with two unknowns (T and a). Solving these equations simultaneously will give us the values of T and a.
Equation 1: T - 10 lb = (10 lb) * a
Equation 2: 40 lb = (40 lb) * a
Let's solve these equations using substitution or elimination to find the values of T and a.