Problem 4.11 A uniform slender rod of mass m, mass center G and length 21 is set against a vertic...
The left-hand end of a slender uniform rod of mass m is placed against a vertical wall. The rod is held in a horizontal position by friction at the wall and by a light wire that runs from the right-hand end of the rod to a point on the wall above the rod. The wire makes an angle θ with the rod. a)What must the magnitude of the friction force be in order for the rod to remain at rest?...
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...
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...
In the figure, a thin uniform rod (mass 4.6 kg, length 5.0 m) rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at a distance d = 1.4 m from the end of the rod. The kinetic energy of the rod as it passes through the vertical position is 18 J. (a) what is the rotational inertia of the rod about axis A? (b) what is the (linear) speed of the...
The figure below shows a uniform rod of length L=0.9 m and mass M (not required in answer) which is free to rotate about one end, and which is initially at rest at an angle θ=40º with respect to the horizontal. Find the (linear) speed of the center of mass of the rod when it reaches the vertical position (θ=-90°). o Pin
A slender, uniform metal rod of mass M and length l is pivoted without friction about an axis through its midpoint and perpendicular to the rod. A horizontal spring, assumed massless and with force constant k, is attached to the lower end of the rod, with the other end of the spring attached to a rigid support. (Figure 1) 2. Find the torque τ due to the spring. Assume that θ is small enough that the spring remains effectively horizontal...
Problem3 A uniform slender rod of length L- 2 m and mass 3 ke rotates freely nodty soUARED S hinge at A. At t-0, the initial angle is θ-30 and the in rads/s in the counter-clockwise direction. (no friction) about itial angular velocity SQUARED is 5 What is the angular velocity (squared)d02 and angular acceleration α as functions of 0? a) b) What are the hinge reaction forces as functions of 0, (u? and a? c) What are the hinge...
The figure below shows a uniform rod of length L=1.3 m and mass M (not required in answer) which is free to rotate about one end, and which is initially at rest at an angle θ=40º with respect to the horizontal. Find the (linear) speed of the center of mass of the rod when it reaches the vertical position (θ=-90°).
The figure below shows a uniform rod of length L=1.0 m and mass M (not required in answer) which is free to rotate about one end, and which is initially at rest at an angle θ=40º with respect to the horizontal. Find the (linear) speed of the center of mass of the rod when it reaches the vertical position (θ=-90°). Pin
A uniform rod of mass M and length 2l stands vertically on a rough horizontal floor and is allowed to fall. Assuming that slipping has not occured, evaluate the angular speed of the rod when the rod makes an angle of theta with the vertical. if the slipping occurs when the rod is at theta=30 degrees with respect to vertical, calculate the value of the coefficient of static friction. A uniform rod of mass Mand length 21 stands vertically on...