A small, 200-g collar D can slide on portion AB of a rod which is bent as shown. Knowing that the rod rotates about the vertical ACat a constant rate and that α = 30° and r = 600 mm, determine the range of values of the speed v for which the collar will not slide on the rod if the coefficient of static friction between the rod and the collar is 0.30.
Fig. P12.56
Given
The mass of the collar D,
The angle,
The static friction between the rod and the collar,
Now assuming that the impending motion is in the downward direction
We know that
Acceleration
By the equilibrium condition
Substituting the known expressions, we get
Now, by the equilibrium condition
Substituting the known expressions
Now, we know that
Substituting the known expressions in the equation (1), we get
By simplifying, we get
Now assuming that the impending motion is in the upward direction
By the equilibrium condition
Substituting the known expressions, we get
By the equilibrium condition
Substituting the known expressions
Now, we know that
Substituting the known expressions in the equation (2)
By simplifying, we get
Therefore, the range of speed is
A small, 200-g collar D can slide on portion AB of a rod which is bent...
Mmm to B A collar B of mass m is attached to the spring AB and can move along the rod shown. The constant of the spring is k = 1.5 kN/m and the spring is unstretched (neutral) when E=0°. Knowing that the coefficient of static friction between the collar and the rod is 0.40, determine the range of values of m for which equilibrium can be maintained. Please show work and include a free body diagram. Please explain as...
13.C1 A 12-lb collar is attached to a spring anchored at point C and can slide on a frictionless rod forming an angle of 30° with the vertical. The spring is of constant k and is unstretched when the collar is at A. Knowing that the collar is released from rest at A, use computational software to determine the velocity of the collar at point B for values of k from 0.1 to 2.0 lb/in 20 in. 20 in. 30...
300 N 200 mm Fig. P6.138 and 6.138 Rod CD is attached to the collar D and passes through a collar welded to end B of lever AB. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when 0 = 30°.
correct answer is 1.pls explain well.. A long horizontal rod has a bead which can slide along its length and is initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A vwith a constant angular acceleration α. If the coefficient of friction between the rod and bead is μ, and gravity is neglected, then the time after which the bead starts slipping is 关 Ll (4) infinitesimal