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A tall block of mass M = 50 kg and base width b = 1 m and height h = 3 m is kept on rough inclined surface with coefficient of friction μ=0.8 as shown in figure. The angle of inclination with the horizontal is 37∘. Determine whether the block slides down or topples over.
25
Sep
A tall block of mass M = 50 kg and base width b = 1 m and height h = 3 m is kept on rough inclined surface with coefficient of friction μ=0.8 as shown in figure. The angle of inclination with the horizontal is 37∘. Determine whether the block slides down or topples over. [...]
A cylinder rests on a horizontal rotating disc, as shown in the figure. Find at what angular velocity, ω, the cylinder falls of the disc, if the distance between the axes of the disc and cylinder is R, and the coefficient of friction μ>D/h, where D is the diameter of the cylinder and h is its height.
25
Sep
A cylinder rests on a horizontal rotating disc, as shown in the figure. Find at what angular velocity, ω, the cylinder falls of the disc, if the distance between the axes of the disc and cylinder is R, and the coefficient of friction μ>D/h, where D is the diameter of the cylinder and h is [...]
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A cylinder rests on a horizontal rotating disc ,
and the coefficient of friction μ>D/h ,
as shown in the figure. Find at what angular velocity ,
if the distance between the axes of the disc and cylinder is R ,
the cylinder falls of the disc ,
where D is the diameter of the cylinder and h is its height. ,
ω ,
Rectangular block B, having height h and width d has been placed on another block A as shown in the figure. Both blocks have equal mass and there is no friction between A and the horizontal surface. A horizontal time dependent force F=kt is applied on the block A. At what time will block B topple? Assume that friction between the two blocks is large enough to prevent B from slipping.
25
Sep
Rectangular block B, having height h and width d has been placed on another block A as shown in the figure. Both blocks have equal mass and there is no friction between A and the horizontal surface. A horizontal time dependent force F=kt is applied on the block A. At what time will block B [...]
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Figure shows a vertical force applied tangentially to a uniform cylinder of weight Fg. The coefficient static friction between the cylinder and both surface is 0.500. In terms of Fg ,
find the maximum force P that can be applied that does not cause the cylinder to rotate. ,
Rectangular block B ,
A uniform cube of side a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point that is directly above the centre of the face, at a height 3a/4 above the base. The minimum value of F which the cube begins to tip about the edge is ….(Assume that the cube does not slide).
25
Sep
A uniform cube of side a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point that is directly above the centre of the face, at a height 3a/4 above the base. The minimum value of F which the cube begins [...]
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A uniform cube of side a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point that is directly above the centre of the face ,
at a height 3a/4 above the base. The minimum value of F which the cube begins to tip about the edge is ....(Assume that the cube does not slide). ,
A trailer with loaded weight Fg is being pulled by a vehicle with a force P, as in figure. The trailer is loaded such that its centre of mass is located as shown. Neglect the force of rolling friction and let a represent the x component of the acceleration of the trailer. (a) Find the vertical component of P in terms of the given parameters. (b) If a = 2.00 ms^−2 and h = 1.50 m, what must be the value of d in order that P = 0 (no vertical load on the vehicle)?
25
Sep
A trailer with loaded weight Fg is being pulled by a vehicle with a force P, as in figure. The trailer is loaded such that its centre of mass is located as shown. Neglect the force of rolling friction and let a represent the x component of the acceleration of the trailer. (a) Find the [...]
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A trailer with loaded weight Fg is being pulled by a vehicle with a force P ,
Figure shows a vertical force applied tangentially to a uniform cylinder of weight Fg. The coefficient static friction between the cylinder and both surface is 0.500. In terms of Fg ,
find the maximum force P that can be applied that does not cause the cylinder to rotate. ,
Figure shows a vertical force applied tangentially to a uniform cylinder of weight Fg. The coefficient static friction between the cylinder and both surface is 0.500. In terms of Fg, find the maximum force P that can be applied that does not cause the cylinder to rotate.
25
Sep
Figure shows a vertical force applied tangentially to a uniform cylinder of weight Fg. The coefficient static friction between the cylinder and both surface is 0.500. In terms of Fg, find the maximum force P that can be applied that does not cause the cylinder to rotate. Figure shows a vertical force applied tangentially to [...]
The ladder shown in figure has negligible mass and rests on a frictionless floor. The crossbar connects the two legs of the ladder at the middle. The angle between the two legs is 600. The fat person sitting on the ladder thas a mas of 80 kg. Find the contact force exerted by the floor on each leg and the tension in the cross bar.
25
Sep
The ladder shown in figure has negligible mass and rests on a frictionless floor. The crossbar connects the two legs of the ladder at the middle. The angle between the two legs is 600. The fat person sitting on the ladder thas a mas of 80 kg. Find the contact force exerted by the floor [...]
A uniform beam of mass m is inclined at an angle θ to the horizontal. Its upper end produces a ninety degree bend in a very rough rope tied to a wall, and its lower end rests on a rough floor (a) If the coefficient of static friction between beam and floor is μs determine an expression for the maximum mass M that can be suspended from the top before the beam slips. (b) Determine the magnitude of the reaction force at the floor and the magnitude of the force exerted by the beam on the rope at P in terms of m,M and μs
25
Sep
A uniform beam of mass m is inclined at an angle θ to the horizontal. Its upper end produces a ninety degree bend in a very rough rope tied to a wall, and its lower end rests on a rough floor (a) If the coefficient of static friction between beam and floor is μs determine [...]
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A uniform beam of mass m is inclined at an angle θ to the horizontal. Its upper end produces a ninety degree bend in a very rough rope tied to a wall ,
A uniform circular disc has a sector of angle 90∘ removed from it. Mass of the remaining disc is M. Write the moment of inertia of the remaining disc about the axis xx shown in figure (Radius is R) ,
A uniform ladder of length L and mass m1 rests against a frictionless wall. The ladder makes an angle θ with the horizontal. (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when a fire fighter of mass m2 has climbed a distance x along the ladder from the bottom. (b) If the ladder is just on the verge of slipping when the fire fighter is a distance d along the ladder from the bottom, what is the coefficient of static friction between ladder and ground?
25
Sep
A uniform ladder of length L and mass m1 rests against a frictionless wall. The ladder makes an angle θ with the horizontal. (a) Find the horizontal and vertical forces the ground exerts on the base of the ladder when a fire fighter of mass m2 has climbed a distance x along the ladder from [...]
A uniform ladder of length 10.0 m and mas 16.0 kg is resting against a vertical wall making an angle of 37∘ with it. An electrician weighing 60.0 kg climbs up the ladder. If the stays on the ladder at a point 8.00 m from the lower end, will be normal force and the force of friction on the ladder by the ground? What should be the minimum coefficient of friction for the electrician to work safely?
25
Sep
A uniform ladder of length 10.0 m and mas 16.0 kg is resting against a vertical wall making an angle of 37∘ with it. An electrician weighing 60.0 kg climbs up the ladder. If the stays on the ladder at a point 8.00 m from the lower end, will be normal force and the force [...]