In the system of pulleys shown in Figure, the pulleys are massless and the strings are inextensible. What is the relation between the accelerations of blocks \( A \) and \( B \)?
A solid cylinder of weight \( W = 100 \, \text{N} \) and radius \( r = 0.5 \, \text{m} \) is pulled along a horizontal plane by a horizontal force \( P = 90 \, \text{N} \) applied to the end of the string wound around the cylinder. What is the angular acceleration of the disc? Assume \( g = 10 \, \text{m/s}^2 \).
The force acting at a point \( A \) is shown in the figure. The equivalent force system acting at point \( B \) is:
A uniform rod AB is in equilibrium when resting on a smooth groove, the walls of which are at right angles to each other as shown in the figure. What is the relation between \( \theta \) and \( \phi \) in degrees?
The standard deviation for the following frequency is
From the given data value of $\int_{1}^{2} \frac{1}{x} dx$ using Simpson’s 1/3rd rule is
If $$ A = \begin{bmatrix} 2 & 3 & 4 \\0 & 4 & 2 \\0 & 0 & 3 \end{bmatrix} $$ then the eigenvalues of $ \text{adj}(A) $ are
If A is $$ A = \begin{bmatrix} 8 & 7 \\5 & 6 \end{bmatrix} $$ then the value of $ \text{det}(A^{121} - A^{120}) = ? $
