Applied Mechanics And Graphic Statics - Study Mode

[#311] If g 1 and g 2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by
Correct Answer

(D) $$frac{{{{ ext{g}}_2}}}{{{{ ext{g}}_1}}}$$

[#312] The vertical reaction at the support ‘A’ of the structure shown in below figure, is
Correct Answer

(C) 3 t

[#313] The member which does not carry zero force in the structure shown in below figure, is
Correct Answer

(D) BD

[#314] The motion of a bicycle wheel is
Correct Answer

(C) Rotary and translatory

[#315] Dimensional formula of Universal Gravitational constant G is-
Correct Answer

(D) M -2 L 2 T -2

Explanation

Solution: The dimensional formula of the Universal Gravitational constant G is derived from Newton's law of universal gravitation which states that the force of attraction between two point masses is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. Mathematically, it can be expressed as: F=G⋅m 1 ⋅m 2 /r 2 Where: F is the force of attraction G is the Universal Gravitational constant m 1 and m 2 are the masses of the objects r is the distance between the objects To determine the dimensional formula of G , we can rearrange the formula as: G=F⋅r 2 /m 1 ⋅m 2 Now, let's analyze the dimensions: Force ( F ) has the dimensional formula: M 1 L 1 T -2 Distance ( r ) has the dimensional formula: L 1 Mass ( m 1 and m 2 ) has the dimensional formula: M 1 Substituting these dimensions into the rearranged formula, we get: G=(M 1 L 1 T -2 )⋅(L 1 ) 2 /M 1 ⋅M 1 G=M -2 L 2 T -2 Therefore, the correct dimensional formula of Universal Gravitational constant G is M -2 L 2 T -2 .