Okay, so we can solve it using work every theorem,
The final velocity of Centre of Mass which will move in a circular path will give us its rotational velocity (omega)

Okay, I am assuming that this will suffice
but for all queries please feel free to use the comment section.
Happy learning.
The slendar rod of masss m and length L is released from rest on a smoooth...
A uniform rod of mass M and length L is released from its horizontal position. The rod pivots about a fixed frictionless axis at' onc end and rotates countcrclockwise duc to gravity. It collides and sticks to another rod with same length and mass which is ver- tically at rest. (For a rod with mass M and length L, the moment of inertia about an axis through its one end is given by1-ML) L,M L, M Initial Final (a)(5 pts.)...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length L=3m, is hinged at A. The rod is held in a horizontal position against А the spring (k= 200kN/m) at G, the spring being in compression. When the rod is released from this horizontal position k Rigid (the spring is not connected to the rod), support it will rotate about the frictionless hinge Spring A in a vertical plane. Determine: support a. The minimum...
Question-5 (20%): 1.6 m M=15 Nm k = 60 N/m The 20-kg rod is released from rest when 0 = 0°.In the shown direction a moment of 15 Nm is applied. Determine the angular velocity of the rod when 0 = 90'. The unstretched length of the spring is 0.25 m. Note that 1. m1
A uniform rod with a mass of m = 1.85 kg and a length
of l = 2.32 m is attached to a horizontal surface with a
hinge. The rod can rotate around the hinge without friction. (See
figure.)
The rod is held at rest at an angle of ? = 65.8° with respect to
the horizontal surface.
1) What is the angular acceleration of the rod, when it is
released?
2) What is the angular speed of the rod,...
A uniform rod of length L (2.00 m) and mass M (5.00 Kg) is free to rotate on a frictionless pin passing through one end. The rod is released from rest in the horizontal position, (a) What is its angular speed when the rod reaches its lowest position? (b) What arc the linear speed of the center of mass and that of the lowest point on the rod when it is in the vertical position?
1. A slender rod of mass 0.5 kg and length 0.8 m is released from rest in the position shown. The coefficients of kinetic and static friction between the surface and the rod are Ilk = 0.11, and is = 0.2. Determine whether the rod will slip on the horizontal surface. 300
The pendulum consists of a 7-kg slender rod with length (L) of 1.2 m and it is fixed to a 16-kg disk with radius of 0.3 m. If the spring has an un-stretched length of 0.2 m and stiffness of 200 N/m, determine the angular velocity of the pendulum when it is released from rest and rotates clockwise 90° from the position shown. The roller at C allows the spring to always remain vertical. At θ-00, the stretched length of...
A uniform rod with a mass of m = 1.73 kg and a length of l = 2.44 m is attached to a horizontal surface with a hinge. The rod can rotate around the hinge without friction. (See figure.) Initially the rod is held at rest at an angle of 0 = 70.3° with respect to the horizontal surface. Then the rod is released. What is the angular speed of the rod, when it lands on the horizontal surface? 7.56rad/s...
PROBLEM 17.113 The slender rod AB of length L = 1 m forms an angle B = 30° with the vertical as it strikes the frictionless surface shown with a vertical velocity 7 = 2 m/s and no angular velocity. Knowing that the coefficient of restitution between the rod and the ground is e = 0.8, determine the angular velocity of the rod immediately after the impact.
A rod of length 1.5 m is attached to a spring of spring constant, k as shown in Fig. II-1. The rod is released from rest when 0 = 0°. While reaching the position 0 = 90°, the angular velocity of the rod was 2.32 rad/s. If the mass of the rod is m kg, determine the value of the spring constant, k. Assume that the spring is unstretched when 0–0°. Take the mass of the rod (m) as 49kg...