A student of mass M stands on a rigid disk at a distance r from the center axis. Assumethat the coefficient of friction between the student's shoes and the disk surface is µ. Attime t = 0, the disk begins to rotate with a constant angular acceleration rate a = ë.Assume that gravity acts with constant acceleration g downward.0 =Mra. [. ] What is the maximum value of angular acceleration rate (amax) suchthat the student does not immediately slip?b. [..] Assuming that a < amax, what is the total friction force acting on thestudent as a function of time (prior to slipping)? Write your answer as a vectorin polar coordinates.c. :: ]Assuming that a < amax, how long after the disk starts rotating will thestudent slip?

we know that angular acceleration, α=d2θdt2 we will be checking for maximum angular acceleration for…

Answered: cudent does not immediately slip?

Similar questions

What moment of inertia is required?
76. Round and Round Little Jay is enjoying his first ride on a merry-go- round. (He is riding a stationary horse rather than one that goes up Av at 4 = 0 %3D and down.) A schematic view of the merry-go-round as seen from above is shown in Fig. 11-47a with a conve- nient coordinate system. A bit after the merry-go-round has started and is going around uniformly, we start our clock. Little Jay's position and velocity at time t dot and arrow. At t = 0 is the net force acting on Jay equal to zero? If it is, write "Yes" and give a reason why you think so. If it isn't, write “No" and specify the type of force and the object responsible for exerting it. FIGURE 11-47a Problem 76. 0 are shown as a %3D %3D For the next six parts, specify which of the graphs shown in Fig. 11-47b could represent the indicated variable for Jay's motion. If none of the graphs work, write "N." (A (B) 0. -Time Time 0. (D) 0. Time 0 Time E F Time Time FIGURE 11-47b Problem 76. (a) The x-component of Jay's velocity (b)…
What is the net torque on the rod shown in the figure? It is rotating around the axis passing through O and perpendicular to the page. 30N 34- 30 24 N
12–158. An airplane is flying in a straight line with a velocity of 200 mi/h and an acceleration of 3 mi/h². If the propeller has a diameter of 6 ft and is rotating at a constant angular rate of 120 rad/s, determine the magnitudes of velocity and acceleration of a particle located on the tip of the propeller.
(a) A uniform, thin rod of length L and mass M has a frictionless pivot at one end. Starting from the definition of moment of inertia as I = | r dm, show that the rod has a moment of inertia given by I 3 (b) The rod is initially vertical (with the pivot at the bottom) and falls under gravity. By considering that gravity acts on the rod's center of mass, find the torque acting on the rod when it is at an angle 0 to the vertical, and hence show that the angular acceleration is given by 3g sin 0 2L where g is the acceleration due to gravity. (c) Sketch a as a function of 0. (d) Hence find the linear acceleration of the center of mass when the rod is horizontal. Show also that when the rod is horizontal the linear acceleration of the tip of the rod is greater than that of an object in free-fall. (e) Make a rough sketch of the distance travelled by the tip as a function of time as the rod moves through one full revolution.
(a) Suppose that a beam is fixed at its ends x = 0 and x = L. Show that its shape is given by -(x* – 2Lx³ + L²x²). y(x) = 24EI
Get the expression for the rotational of a vector field in spherical coordinates.
(II) A car at the Indianapolis 500 accelerates uniformly fromthe pit area, going from rest to 270km/h in a semicirculararc with a radius of 220 m. Determine the tangential andradial acceleration of the car when it is halfway throughthe arc, assuming constant tangential acceleration. If thecurve were flat, what coefficient of static friction would benecessary between the tires and the road to provide thisacceleration with no slipping or skidding?
43 SSM ww The uniform solid Rotation block in Fig. 10-38 has mass 0.172 kg axis and edge lengths a = 3.5 cm, b= 8.4 cm, and c = 1.4 cm. Calculate its rota- tional inertia about an axis through one corner and perpendicular to the large faces.
Now compute the torque, in N • cm. Now calculate the torque produced by each force.
Example 11-6: Torque vector. Suppose the vector ř is in the xz plane, and is given by i = (1.2 m)î + 1.2 m)k Calculate the torque vector t if F= (150 N) i.
Two identical heavy spheres are seperated by distance 10 times their radius. Will an object placed at the mid point of the line joining their centres be in a stable equilibrium or unstable equilibrium ? Give reason for your answer.

SEE MORE QUESTIONS