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The clock pendulum consists of the slender rod of length I and mass m and the...
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...
The pendulum shown below consists of a slender rod of length L and a think disk...
The pendulum shown below consists of a slender rod of length L and a think disk of radius r. If the rope connected to the disk breaks as shown, find the initial angular accleration of pendulum and the reaction forces at O. Assume Wrod = 12 lbs, Wdisk = 20 lbs, r = 2 ft, and L = 3 ft. x = Ox= rad/s 2 (1 decimal) lbs (no decimals) lbs (1 decimal) Oy = 1-1 L
4. The pendulum in Figure 4 consists of a 10 lb sphere of radius 1.0 f and a 5 lb slender rod of length 2.0 ft. Determine: (10 pts) the angularacceleration of the pendulum immediately after th...
4. The pendulum in Figure 4 consists of a 10 lb sphere of radius 1.0 f and a 5 lb slender rod of length 2.0 ft. Determine: (10 pts) the angularacceleration of the pendulum immediately after the string is cut and the reaction at the pin support O a. b. (10 pts) Using Work-Energy determine the angular velocity of the pendulum as it swings through the vertical position and the reaction at the pin O at that instant. BC 1...
A pendulum consists of a rod of mass 2 kg and length 1.5 m with a...
A pendulum consists of a rod of mass 2 kg and length 1.5 m with a solid sphere at one end with mass 0.4 kg and radius 15 cm (see the following figure). If the pendulum is released from rest at an angle of 40°, what is the angular velocity at the lowest point? (Enter the magnitude in rad/s.) Axis 1.5 m, 2 kg 400 0.4 kg, 15 cm radius 2.220 x rad/s
A grandfather clock has a pendulum that consists of a thin brass disk of radius 37...
A grandfather clock has a pendulum that consists of a thin brass
disk of radius 37 cm and mass 1.6 kg that is attached to a long,
thin rod of negligible mass. The pendulum swings freely about an
axis perpendicular to the rod and through the end of the rod
opposite the disk. The pendulum should be designed so that its
period is 2 s for small oscillations when the gravitational
acceleration is 9.8 m/s2.
(a) What should the length...
A pendulum consists of a slender rod, AB, of weight Wr = 8.70 lb and a...
A pendulum consists of a slender rod, AB, of weight
Wr = 8.70 lb and a wooden sphere of weight Ws =
28.9 lb .(Figure 1) The length of the rod is d1 = 7.20 ft
and the radius of the sphere is R = 0.500 ft . A
projectile of weight Wp = 0.300 lb strikes the center of
the sphere at a velocity of v1 = 866 ft/s and becomes
embedded in the center of the sphere. What...
A pendulum consists of a rod of mass 2 kg and length 1.3 m with a...
A pendulum consists of a rod of mass 2 kg and length 1.3 m with
a solid sphere at one end with mass 0.4 kg and radius 15 cm (see
the following figure). If the pendulum is released from rest at an
angle of 38°, what is the angular velocity at the lowest point?
(Enter the magnitude in rad/s.)
38°
1.3 m, 2 kg
0.4 kg, 15 cm radius
Problem Statement: A clock pendulum (shown below) is idealized as a circular disk, of ass m and r...
Ideal clock pendulum(treat as a rigid body)
Problem Statement: A clock pendulum (shown below) is idealized as a circular disk, of ass m and radius R, attached at the end of a rigid, massless rod having length L . D raw a complete Free Body Diagram, treating the whole pendulum as a rigid body. Using the indicated coordinate axes, basis vectors, and system parameters, determine the items below a) The vector form of the Force Balance Law (FBL). (Make sure...
A grandfather clock has a pendulum that consists of a thin brass disk of radius r...
A grandfather clock has a pendulum that consists of a thin brass disk of radius r = 14.38 cm and mass 0.8261 kg that is attached to a long thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk, as shown in the figure. If the pendulum is to have a period of 1.592 s for small oscillations at a place where g =...
A grandfather clock has a pendulum that consists of a thin brass disk of radius 27...
A grandfather clock has a pendulum that consists of a thin brass
disk of radius 27 cm and mass 1.1 kg that is attached to a long,
thin rod of negligible mass. The pendulum swings freely about an
axis perpendicular to the rod and through the end of the rod
opposite the disk. The pendulum should be designed so that its
period is 2 s for small oscillations when the gravitational
acceleration is 9.8 m/s2.
(a) What should the length...
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...
The pendulum shown below consists of a slender rod of length L and a think disk of radius r. If the rope connected to the disk breaks as shown, find the initial angular accleration of pendulum and the reaction forces at O. Assume Wrod = 12 lbs, Wdisk = 20 lbs, r = 2 ft, and L = 3 ft. x = Ox= rad/s 2 (1 decimal) lbs (no decimals) lbs (1 decimal) Oy = 1-1 L
4. The pendulum in Figure 4 consists of a 10 lb sphere of radius 1.0 f and a 5 lb slender rod of length 2.0 ft. Determine: (10 pts) the angularacceleration of the pendulum immediately after the string is cut and the reaction at the pin support O a. b. (10 pts) Using Work-Energy determine the angular velocity of the pendulum as it swings through the vertical position and the reaction at the pin O at that instant. BC 1...
A pendulum consists of a rod of mass 2 kg and length 1.5 m with a solid sphere at one end with mass 0.4 kg and radius 15 cm (see the following figure). If the pendulum is released from rest at an angle of 40°, what is the angular velocity at the lowest point? (Enter the magnitude in rad/s.) Axis 1.5 m, 2 kg 400 0.4 kg, 15 cm radius 2.220 x rad/s
A grandfather clock has a pendulum that consists of a thin brass
disk of radius 37 cm and mass 1.6 kg that is attached to a long,
thin rod of negligible mass. The pendulum swings freely about an
axis perpendicular to the rod and through the end of the rod
opposite the disk. The pendulum should be designed so that its
period is 2 s for small oscillations when the gravitational
acceleration is 9.8 m/s2.
(a) What should the length...
A pendulum consists of a slender rod, AB, of weight
Wr = 8.70 lb and a wooden sphere of weight Ws =
28.9 lb .(Figure 1) The length of the rod is d1 = 7.20 ft
and the radius of the sphere is R = 0.500 ft . A
projectile of weight Wp = 0.300 lb strikes the center of
the sphere at a velocity of v1 = 866 ft/s and becomes
embedded in the center of the sphere. What...
A pendulum consists of a rod of mass 2 kg and length 1.3 m with
a solid sphere at one end with mass 0.4 kg and radius 15 cm (see
the following figure). If the pendulum is released from rest at an
angle of 38°, what is the angular velocity at the lowest point?
(Enter the magnitude in rad/s.)
38°
1.3 m, 2 kg
0.4 kg, 15 cm radius
Ideal clock pendulum(treat as a rigid body)
Problem Statement: A clock pendulum (shown below) is idealized as a circular disk, of ass m and radius R, attached at the end of a rigid, massless rod having length L . D raw a complete Free Body Diagram, treating the whole pendulum as a rigid body. Using the indicated coordinate axes, basis vectors, and system parameters, determine the items below a) The vector form of the Force Balance Law (FBL). (Make sure...
A grandfather clock has a pendulum that consists of a thin brass disk of radius r = 14.38 cm and mass 0.8261 kg that is attached to a long thin rod of negligible mass. The pendulum swings freely about an axis perpendicular to the rod and through the end of the rod opposite the disk, as shown in the figure. If the pendulum is to have a period of 1.592 s for small oscillations at a place where g =...
A grandfather clock has a pendulum that consists of a thin brass
disk of radius 27 cm and mass 1.1 kg that is attached to a long,
thin rod of negligible mass. The pendulum swings freely about an
axis perpendicular to the rod and through the end of the rod
opposite the disk. The pendulum should be designed so that its
period is 2 s for small oscillations when the gravitational
acceleration is 9.8 m/s2.
(a) What should the length...
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