Mechanics of Solids TUTORIAL # 1 Department of Aerospace Engineering Indian Institute of Space Science & Technology TUTORIAL # 1 (IIST) Under Guidance of Dr. Bijudas 1/9 Problem 1 Determine the magnitudes of the components of force F = 56N acting along and perpendicular to line AO. TUTORIAL # 1 (IIST) Under Guidance of Dr. Bijudas 2/9 Problem 2 The cylindrical plate is subjected to the three cable forces which are concurrent at point D. Express each force which the cables exert on the plate as a Cartesian vector, and determine the magnitude and coordinate direction angles of the resultant force. TUTORIAL # 1 (IIST) Under Guidance of Dr. Bijudas 3/9 Problem 3 Determine the projection of force F = 80N along line BC. Express the result as a Cartesian vector. TUTORIAL # 1 (IIST) Under Guidance of Dr. Bijudas 4/9 Problem 4 Determine the force acting along the axis of each of the three struts needed to support the 500-kg block. TUTORIAL # 1 (IIST) Under Guidance of Dr. Bijudas 5/9 Problem 5 If the mass of the flowerpot is 50 kg, determine the tension developed in each wire for equilibrium. Set x = 1.5 m and z = 2 m TUTORIAL # 1 (IIST) Under Guidance of Dr. Bijudas 6/9 Problem 6 Determine the resultant moment produced by forces Fb and Fc and about point O. Express the result as a Cartesian vector. TUTORIAL # 1 (IIST) Under Guidance of Dr. Bijudas 7/9 Problem 7 Determine the required magnitude of the couple moments M2 and M3 so that the resultant couple moment is zero. TUTORIAL # 1 (IIST) Under Guidance of Dr. Bijudas 8/9 Problem 8 The wooden plank resting between the buildings deflects slightly when it supports the 50-kg boy. This deflection causes a triangular distribution of load at its ends, having maximum intensities of wa and wb . Determine wa and wb , each measured in N/m, when the boy is standing 3 m from one end as shown. Neglect the mass of the plank. TUTORIAL # 1 (IIST) Under Guidance of Dr. Bijudas 9/9