A 24 lb uniform slender rod AB of length L= 36 in is fixed to a 12 lb uniform disk of radius, R= 12 in , and both are pinned at B as shown. A belt is attached to the rim of the disk and then to a spring with spring constant, k= 40 lb/in which holds the rod/disk at rest in the equilibrium position shown.
natural period is 0.446 s
If end A is displaced a distance of 0.9 in and released from rest, determine the amplitude of the acceleration at end A.
Homework Answers
Question 4 A homogeneous slender rod AB of mass m and length L is held in...
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 slender 9 lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k-30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. The rod is released from rest in...
A slender 9 lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k-30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. The rod is released from rest in the position shown. 1) Determine its angular velocity after the rod has rotated through 45.(1 point) 2) Determine the reaction force at pivot point B after the rod rotated through 45. (1 point) 24 in 5 in. 4...
A uniform disk of radius r and mass md rolls without slipping on a cylindrical surface...
A uniform disk of radius r and mass md rolls without slipping on a cylindrical surface and is attached to a uniform slender bar AB of mass mb. The bar is attached to a spring of constant K and can rotate freely in the vertical plane about point A as shown in the figure . If the bar AB is displaced by small angle 0 and released, determine The energy of the system in terms of theta and theta '....
36. A uniform rod AB of length L and weight W is attached to two wires,...
36. A uniform rod AB of length L and weight W is attached to two wires, each of length b. The rod is released from rest when 0-0 and swings to the position 0-90°, at which time wire BD suddenly breaks. Determine the following: a) The tension in wire AC immediately before wire BD breaks. b) The tension in wire AC immediately after wire BD breaks.
The pendulum consists of a 7-kg slender rod with length (L) of 1.2 m and it...
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...
Include a constant counter clockwise moment of 40 lb.ft A slender 9-lb rod can rotate in...
Include a constant counter
clockwise moment of 40 lb.ft
A slender 9-lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k 30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. Knowing that the rod is released from rest in the position shown, determine its angular velocity after it has rotated through 90 Fig. P17.18 24 in 5 in. 14in.
Problem 9 (15 points) A 20-lb slender rod AB is 5 ft long and is pivoted about a point O which is...
Problem 9 (15 points) A 20-lb slender rod AB is 5 ft long and is pivoted about a point O which is 1 ft from end B. The other end is pressed against a spring of constant k-400 lbin until the spring is compressed 2 in, and the rod is in a horizontal position. If the rod is released from this position, determine its angular velocity and the reaction at the pivot O as the rod passes through a thirty...
End A of the 6-kg uniform rod AB of length L = 1.5 m rests on...
End A of the 6-kg uniform rod AB of length L = 1.5 m rests on the inclined surface, while end B is attached to a collar of negligible mass which can slide along the vertical rod shown. When the rod is at rest a vertical force P is applied at B. causing end of the rod to start moving upward with an acceleration of 4 m/s2 Knowing that = 35°, determine the force P. В The force Pis N1.
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally m...
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally mounted with a friction-less horizontal axis of rotation that extends through the center of mass of the disk. The rod is fixedly attached to the edge of the disk and it extends vertically downward when the pendulum is in a state of static...
An L-shaped rigid body ABC consists of two identical uniform slender rods, each of mass 40 kg and...
An L-shaped rigid body ABC consists
of two identical uniform slender rods, each of mass 40
kg and of length, L= 1.6
m welded together. The rigid body is pinned at its
vertex B as shown, with the
end C attached to a spring with a spring
constant, 6 N/cm .
PART A - Determine the natural cycle frequency of the
system.
PART B - If during the oscillatory motion the
end A is observed to move with a speed of 0.12
m/s when AB is vertical,
what...
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 slender 9 lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k-30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. The rod is released from rest in the position shown. 1) Determine its angular velocity after the rod has rotated through 45.(1 point) 2) Determine the reaction force at pivot point B after the rod rotated through 45. (1 point) 24 in 5 in. 4...
A uniform disk of radius r and mass md rolls without slipping on a cylindrical surface and is attached to a uniform slender bar AB of mass mb. The bar is attached to a spring of constant K and can rotate freely in the vertical plane about point A as shown in the figure . If the bar AB is displaced by small angle 0 and released, determine The energy of the system in terms of theta and theta '....
36. A uniform rod AB of length L and weight W is attached to two wires, each of length b. The rod is released from rest when 0-0 and swings to the position 0-90°, at which time wire BD suddenly breaks. Determine the following: a) The tension in wire AC immediately before wire BD breaks. b) The tension in wire AC immediately after wire BD breaks.
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...
Include a constant counter
clockwise moment of 40 lb.ft
A slender 9-lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k 30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. Knowing that the rod is released from rest in the position shown, determine its angular velocity after it has rotated through 90 Fig. P17.18 24 in 5 in. 14in.
Problem 9 (15 points) A 20-lb slender rod AB is 5 ft long and is pivoted about a point O which is 1 ft from end B. The other end is pressed against a spring of constant k-400 lbin until the spring is compressed 2 in, and the rod is in a horizontal position. If the rod is released from this position, determine its angular velocity and the reaction at the pivot O as the rod passes through a thirty...
End A of the 6-kg uniform rod AB of length L = 1.5 m rests on the inclined surface, while end B is attached to a collar of negligible mass which can slide along the vertical rod shown. When the rod is at rest a vertical force P is applied at B. causing end of the rod to start moving upward with an acceleration of 4 m/s2 Knowing that = 35°, determine the force P. В The force Pis N1.
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally mounted with a friction-less horizontal axis of rotation that extends through the center of mass of the disk. The rod is fixedly attached to the edge of the disk and it extends vertically downward when the pendulum is in a state of static...
An L-shaped rigid body ABC consists
of two identical uniform slender rods, each of mass 40
kg and of length, L= 1.6
m welded together. The rigid body is pinned at its
vertex B as shown, with the
end C attached to a spring with a spring
constant, 6 N/cm .
PART A - Determine the natural cycle frequency of the
system.
PART B - If during the oscillatory motion the
end A is observed to move with a speed of 0.12
m/s when AB is vertical,
what...
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