The 12-kg slender rod is pinned to a small roller A that slides freely along the...
Problem 4 A uniform slender rod of length L- 3 m and mass 2 kg rotates freely (no friction) about hinge at A. Att- 0, the initial angle is B 30 and the initial angular velocity SQUARED is 4.9 rads/s in the counter-clockwise direction. a) What are the hinge reaction forces, acceleration of the center of mass, angular velocity (squared) and angular acceleration as functions of B, b) what are the hinge reaction forces, acceleration of the center of mass...
Prob. 3 A slender uniform homogeneous bar of total mass 2 kg is used to stiffen the 4 kg rectangular plate, as shown, along all its four sides. Determine a) The total length of the bar b) The total mass of the assembly c) Its center of mass location, G. d) determine the moment of inertia e) and radius of gyration about G. 300mm A 300mm + 400mm Prob. 4 The stiffened plate described in Prob 3 above, and supported...
A slender rod is 80.0 cm long and has mass 0.390 kg . A small 0.0200-kg sphere is welded to one end of the rod, and a small 0.0500-kg sphere is welded to the other end. The rod, pivoting about a stationary, frictionless axis at its center, is held horizontal and released from rest. What is the linear speed of the 0.0500-kg sphere as its passes through its lowest point?
Pivoted Rod with Unequal Masses (Figure 1) A thin rod of mass mr and length 2L is allowed to pivot freely about its center, as shown in the diagram. A small sphere of mass m1 is attached to the left end of the rod, and a small sphere of mass m2 is attached to the right end. The spheres are small enough that they can be considered point particles. The gravitational force acts downward, with the magnitude of the gravitational acceleration...
Chapter 6, Problem 6/098 The assembly consisting of a uniform slender bar (mass 2.1 kg and L0.45 m) and a rigidly attached uniform disk (mass 6.1 kg) is freely pinned to point O on the collar that in turn slides on the fixed horizontal guide. The assembly is at rest when the collar is given a sudden acceleration a 4.6 m/s2 to the left as shown. Determine the initial angular acceleration a of the assembly. The angular acceleration is positive...
The uniform slender rod contains a 4-kg uniform rod with the center of mass at point G is suspended from a hinge at C. The rod is at rest in a vertical position when point B is subjected to a force of P = 75 N, and a moment M = 50 Nm, the length of the rod is 1 m and r = 0.225m. Determine the reactions at the pin C and the initial angular acceleration of the rod....
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 of mass M = 5.14kg and length L = 1.01m 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.
Determine the linear acceleration of the tip of the rod. Assume
that the force of gravity acts at the center of mass of...
Question 4 A homogeneous slender rod AB of mass m and length L is held in the position shown in Figure Q4. The end A of the rod is free to move along the smooth horizontal surface. The end B of the rod is connected to rod BC of negligible mass. The rod AB is released from rest in the position shown when 0 = 60°. If the acceleration of end B is ā, = -a,j, derive the expressions in...
A 5 kg collar is attached to a spring and it slides along a
smooth bar. The spring has undeformed length of 35 cm and a
constant k= 700 N/m. The collar is released from rest as shown
below. Determine the force exerted by the rod on the collar
when;
a) The collar is at point A
b) The collar is at point B.
Not that both A and B are on the curved portion of the rod.
A 5...