Determine the linear acceleration of the tip of the rod

AI Thread Summary
To determine the linear acceleration of the tip of a uniform rod pivoting freely about a hinge, the relationship between linear and angular acceleration is utilized, expressed as a = r(α), where r is the distance from the pivot to the tip and α is the angular acceleration. Given that the rod has a length of 1.08m and an angular acceleration of 13.6 rad/s², the linear acceleration at the tip can be calculated. By substituting the values into the equation, the linear acceleration is found to be approximately 14.68 m/s². The discussion emphasizes the importance of understanding the relationship between linear and angular motion in rotational dynamics. This approach provides a clear method for solving similar problems in physics.
shimizua
Messages
99
Reaction score
0

Homework Statement


Determine the linear acceleration of the tip of the rod. Assume that the force of gravity acts at the center of mass of the rod, as shown


Homework Equations


So there is a first part to this problem that i already got
A uniform rod of mass M = 5.02kg and length L = 1.08m can pivot freely (i.e., we ignore friction) about a hinge attached to a wall, as seen in the figure below.The rod is held horizontally and then released. At the moment of release, determine the angular acceleration of the rod. Use units of rad/s^2. So i got the right answer for this and it was 13.6 rad/s^2. i just don't know what to do for the second part

The Attempt at a Solution

 
Physics news on Phys.org
Linear acceleration is related to angular acceleration by the eqn. r(\alpha) = a
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

Linear and angular momentum problem: Ball hitting a rod
2
Replies
62
Views
12K
Uniform rotating rod about a point at one end of the rod
Replies
3
Views
2K
Rotating rod of negligible mass attached to two point masses
Replies
19
Views
4K
Angular and Linear Momentum Problem
Replies
18
Views
3K
Dynamics of Rotational Motion and hinge
Replies
2
Views
3K
Solve Angular Velocity & Acceleration - Dimensional Analysis
Replies
3
Views
2K
How Does Torque Apply to a Rotating Rod on a Frictionless Surface?
Replies
4
Views
2K
Question about springs and rotational/translational energy
Replies
4
Views
1K
Rod on a Plane: Calculating Angular and Linear Motion After Impact"
Replies
38
Views
3K
Calculating Speed and Kinetic Energy in a Rotating Rod
Replies
1
Views
4K

Hot Threads

Recent Insights

Back
Top