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The rod will slip on the
horizontal surface
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1. A slender rod of mass 0.5 kg and length 0.8 m is released from rest...
5. A slender rod (mass 1 kg, length L m) is placed vertically on a horizontal rough surface, as shown. The upper end of...
5. A slender rod (mass 1 kg, length L m) is placed vertically on a horizontal rough surface, as shown. The upper end of the rod is tapped lightly, so that it starts falling. Due to friction, its lower end does not slip. When θ 450 with respect to the vertical, show that the normal force N 3.14 N (pointed up) and that the friction force f0.64 N (pointed to the right). Justify results with appropriate diagrams, equations and calculations....
1, tani (3/4) and A rod has a mass of 100 kg with the length of...
1, tani (3/4) and A rod has a mass of 100 kg with the length of 2 m. In the instant shown, θ de/dt 2 rad/s. Determine: (a) What static coefficient of friction must between the rod and the ground to prevent slipping? (b) If at the instant shown the rod just began to slip with a kinetic coefficient of friction μ 0.2, what is the acceleration of the rod at the mass center G?
Question 3. A block A, having a mass of 20-kg, is released from rest and slides...
Question 3. A block A, having a mass of 20-kg, is released from rest and slides down an incline with coeffici an incline with coefficient of static d kinetic friction of 0.25 and 0.10, respectively. When it reaches the bottom of the ramp, it slides ally onto the surface of a 10-kg cart for which the coefficient of static and kinetic friction between Question 3. A block A, having a mass of 20-kg, is released from rest and slides down...
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...
3. The uniform rod of length 4b = 0.8 m and mass m = 2 kg...
3. The uniform rod of length 4b = 0.8 m and mass m = 2 kg is bent into the shape shown. The diameter of the rod is small compared with its length. Determine the moments of inertia of the rod about the three coordinate axes. (For a slender rod of mass m and length L, I = ml?)
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 bar of mass m and length L is released from rest in a horizontal...
A slender bar of mass m and length L is released from rest in a horizontal position. The work done by its weight when it has rotated through 90° is? m L - 8 (2) mg/2) mg(1/2) mgL
6. The slender, homogeneous rod AB has a mass of 6 kg and rests on the...
6. The slender, homogeneous rod AB has a mass of 6 kg and rests on the cylinder as shown. The cylinder has a mass of 12 kg and a diameter of 15 mm. A horizontal force P is applied to the cylinder as shown. The coefficient of static friction (us) is 0.3 between the rod and the cylinder and between the cylinder and the ground. Determine the largest magnitude of P that can be applied to the cylinder while maintaining...
The left-hand end of a slender uniform rod of mass m is placed against a vertical...
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?...
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,...
5. A slender rod (mass 1 kg, length L m) is placed vertically on a horizontal rough surface, as shown. The upper end of the rod is tapped lightly, so that it starts falling. Due to friction, its lower end does not slip. When θ 450 with respect to the vertical, show that the normal force N 3.14 N (pointed up) and that the friction force f0.64 N (pointed to the right). Justify results with appropriate diagrams, equations and calculations....
1, tani (3/4) and A rod has a mass of 100 kg with the length of 2 m. In the instant shown, θ de/dt 2 rad/s. Determine: (a) What static coefficient of friction must between the rod and the ground to prevent slipping? (b) If at the instant shown the rod just began to slip with a kinetic coefficient of friction μ 0.2, what is the acceleration of the rod at the mass center G?
Question 3. A block A, having a mass of 20-kg, is released from rest and slides down an incline with coeffici an incline with coefficient of static d kinetic friction of 0.25 and 0.10, respectively. When it reaches the bottom of the ramp, it slides ally onto the surface of a 10-kg cart for which the coefficient of static and kinetic friction between Question 3. A block A, having a mass of 20-kg, is released from rest and slides down...
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...
3. The uniform rod of length 4b = 0.8 m and mass m = 2 kg is bent into the shape shown. The diameter of the rod is small compared with its length. Determine the moments of inertia of the rod about the three coordinate axes. (For a slender rod of mass m and length L, I = ml?)
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 bar of mass m and length L is released from rest in a horizontal position. The work done by its weight when it has rotated through 90° is? m L - 8 (2) mg/2) mg(1/2) mgL
6. The slender, homogeneous rod AB has a mass of 6 kg and rests on the cylinder as shown. The cylinder has a mass of 12 kg and a diameter of 15 mm. A horizontal force P is applied to the cylinder as shown. The coefficient of static friction (us) is 0.3 between the rod and the cylinder and between the cylinder and the ground. Determine the largest magnitude of P that can be applied to the cylinder while maintaining...
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,...
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