[Something descriptive here will yield more responses]

  • Thread starter Thread starter tanzl
  • Start date Start date
  • Tags Tags
    Yield
AI Thread Summary
The discussion centers on calculating the force exerted by the tabletop on an incline with a block sliding on it. The initial assumption that the force is simply (M+m)g is questioned, as it seems overly simplistic. Participants emphasize the need to consider the normal force acting on the block and the reaction forces involved due to the incline's motion. A free-body diagram is recommended to visualize all forces acting on the incline, ensuring the net force remains zero. Understanding these dynamics is crucial for accurately determining the tabletop's force throughout the block's motion.
tanzl
Messages
60
Reaction score
0

Homework Statement


In the flgure below, the incline has mass M and is fastened to the stationary horizontal tabletop. The block of mass m is placed near the bottom of the incline and is released with a quick push that sets it sliding upward. It stops near the top of the incline, as shown in the flgure, and then slides down again, always without friction. Find the force that the tabletop exerts on the incline throughout this motion.


Homework Equations





The Attempt at a Solution


My answer is (M+m)g. But, it looks too simple to be correct.
Please clear my doubts.
1)Although there is a normal force of magnitude mg*cos(theta) that will eventually balance the weight of the mass m since the mass is not moving downward o upward.
2)The initial push on the mass m is not necessary to be considered in the calculation because the force supplied is not constant and so the only force acting on mass m which parallel to the incline is mg*sin(theta).
 

Attachments

  • PHYS1A_ProbSet2_08-09.jpg
    PHYS1A_ProbSet2_08-09.jpg
    12.5 KB · Views: 507
Physics news on Phys.org
The picture hasn't come up yet, but your description points to something you need to consider. The normal force provided by the incline against the block is not vertical; thus, the "reaction force" of the block against the incline is not vertical. The table must in turn exert forces against the weight of the incline and block and this "reaction" force. Make a free-body diagram showing all the forces acting on the incline from both the block and the table. What must the forces from the table be in order that the net force on the incline comes to zero?
 
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