Mechanics | Relativity Answers

A wood block with a mass of 4.0kg is sliding along a horizontal surface. The coefficient of kinetic friction is 0.60. It is being pulled with a force of 50N [30° above horizontal]

I got the answer 8.52N and just want to know if its right, if not please explain the correct answer

A small disc is on the top of a hemisphere of radius R. What is the smallest horizontal velocity v that should be given to the disc for it to leave the hemisphere and not slide down it?[ there is no friction]
(1)√2gR
(2)√gR
(3)g/R
(4)√g²R

The minimum velocity at the lowest point, so that the string just slack at the highest point in a vertical circle of radius l.
(1)√gl(2)
(2)√3gl
(3)√5gl
(4)√7gl

A string pendulum oscillates in a vertical plane. When it passes through the mean position, the tension in the string is 3 times the weight of the pendulum bob. What is the maximum displacement of the pendulum of the string with respect to the vertical.
(1)30°
(2)45°
(3)60°
(4)90°

the formula for finding pressusre of fluid at rest or fluid in a container is p=density*height*acceleration due to gravity.why not we take accelaration which is caused by motion of liquid particles instead of accelaration due to gravity or average of the accelaration due to gravity and accelaration due to motion of particles for finding pressure

A bar of circular cross-section is loaded by a compressive force P = 100 kN. The bar has length L = 2.0 m and diameter d = 30 mm. It is made of aluminum alloy with modulus of elasticity E = 73 GPa. What is the strain of the bar? Express the answer in mm/m.

A hollow right-circular cylinder is made of cast iron and has an outside diameter of 75 mm and an inside diameter of 60 mm. If the cylinder is loaded by an axial compressive force of 50 kN, determine the total shortening (in mm) in a 600 mm length. Also, determine the normal stress (in MPa) under this load. The modulus of elasticity of cast iron is E = 100 GPa.

A solid circular steel rod 6mm in diameter and 500mm long is rigidly fastened to the end of a square brass bar 25mm on a side and 400mm long, the geometric axes of the bars lying along the same line. An axial tensile force of 5kN is applied at each of the extreme ends. Determine the total elongation of the assembly. For steel, E = 200GPa, and for brass, E = 90GPa. Express the answer in millimeters.

The sum of two forces, one having a magni- tude of 6 N acting due east and other having a magnitude of 7 N acting due north is

Particle mass of 0.5 kg. The particle has a initial velocity with horizontal component of 30 m/s. The particle rises to a max height of 20m above p.
partical is on a cliff 60 m high. Find velocity in the y direction (vertical). Find horizontal and veryical components when the particle reaches b at the bottom.