Suppose you’re building a contraption which contains a solid rod of length L = 13.1 m and mass 3.8 kg. This rod has its...
Suppose you’re building a contraption which contains a solid rod of length L = 13.1 m and mass 3.8 kg. This rod has its lower end barely above the ground at an angle of 24 degrees with respect to the horizontal, and is ultimately held up by a rope connected at a distance L/4 from the top of the rod making an angle of 28.3 degrees with respect to the rod. The top of the rod may rotate as it is held in place by a bolt connected to a wall. Calculate the tension in the rope which keeps the rod from touching the ground.
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Suppose you’re building a contraption which contains a solid rod of length L = 13.1 m and mass 3.8 kg. This rod has its...
A thin solid rod of mass M and length L is connected to a wall by...
A thin solid rod of mass M and length L is connected to a wall by a hinge and hangs from the ceiling by a string which connects to the end of the rod at an angle of 30 degrees. The center of mass of the rod is located halfway from the hinge, and a block of mass m is placed on the rod 3/4 of the way from the hinge. the string used to suspend the rod can support...
A uniform rod with a mass of m = 1.85 kg and a length of l...
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 with a mass of m = 1.73 kg and a length of l...
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...
The figures to the right show a rod with length, l, and mass, M, on a frictionless table rotated an angle θ from the horizontal. It is fix to the table by a pin Sring through its center of mass...
The figures to the right show a rod with length, \(l\), and mass, \(M\), on a frictionless table rotated an angle \(\theta\) from the horizontal. It is fix to the table by a pin through its center of mass, and can rotate freely about this pin. On the two ends of the rod are connected identical springs with spring constant, \(k\), and the equilibrium position of the springs is when \(\theta=0\). In this problem, \(\theta \ll 1 \mathrm{rad}\), and the...
The assembly shown in the figure below consists of a thin rod of length l = 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top.
The assembly shown in the figure below consists of a thin rod of length l = 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. (a) After the combination rotates through 90...
The figure below shows a uniform rod of length L=1.1 m and mass M (not required...
The figure below shows a uniform rod of length L=1.1 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 0=40° with respect to the horizontal. Find the (linear) speed of the center of mass of the rod when it reaches the vertical position (8=-90°). Ꮎ Pin Select one: 3.64 m/s 4.01 m/s 1.82 m/s 6.19 m/s 4.37 m/s Th figure below shows a mass...
Problem 6: A uniform beam of length L = 3.2 m and mass M = 32 kg has its lower end fixed to pivot at a point P on the floor
Problem 6: A uniform beam of length L = 3.2 m and mass M = 32 kg has its lower end fixed to pivot at a point P on the floor, making an angle θ = 29° as shown in the digram. A horizontal cable is attached at its upper end B to a point A on a wall. A box of the same mass Mas the beam is suspended from a rope that is attached to the beam one-fourth...
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 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...
The figures to the right show a rod with length, \(l\), and mass, \(M\), on a frictionless table rotated an angle \(\theta\) from the horizontal. It is fix to the table by a pin through its center of mass, and can rotate freely about this pin. On the two ends of the rod are connected identical springs with spring constant, \(k\), and the equilibrium position of the springs is when \(\theta=0\). In this problem, \(\theta \ll 1 \mathrm{rad}\), and the...
The figure below shows a uniform rod of length L=1.1 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 0=40° with respect to the horizontal. Find the (linear) speed of the center of mass of the rod when it reaches the vertical position (8=-90°). Ꮎ Pin Select one: 3.64 m/s 4.01 m/s 1.82 m/s 6.19 m/s 4.37 m/s Th figure below shows a mass...
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