Oppgave 2 (Ch 8): The block brake is used to stop the wheel from rotating when the wheel is subjected to a couple moment M. Draw the free-body diagram (FBD) of: i) the brake, and ii) the wheel (Note: identify all the forces and distances, as well as where we should apply the third Newton's law) Mo Oppgave 3 (Ch5): A 10 kN load is suspended from the boom at D. Determine the force in the hydraulic cylinder BC and the pin reaction at A. 1.5 m R 10 kN Oppgave 1 (Ch 5-6): Draw the free-body diagram of the following systems. a) Beam b) Beam 3m 4KN 6 2m c) The backhoe (1) and its members (2) (suppose that the members have no mass, and that the bucket and its contents have a weight W). 0.25 m 5m 10 2 m 60° 0.5 m

(30 pts) Problem 1 A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A moment M mgr 4 is applied to the rod. Assume that the bowl is fixed and its rim is in the horizontal plane. HINT: It will help you to find the length l of that portion of the rod that remains outside the bowl. M 2r a) How many degrees of freedom does this system have? b) Write an equation for the virtual work in terms of the angle 0 and the motion of the center of mass (TF) c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ) a. HINT: Use the center of the bowl as the coordinate system origin for the problem. d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to solve for the equilibrium angle of the rod. DO NOT solve the equation e) In the case of an applied moment (i.e., M = mgr = -) derive an equation that can be used to 4 solve for the equilibrium angle of the rod. DO NOT solve the equation. f) Can…

The unstretched length of springs AB and AC are 0.8485 m and 3 m, respectively. The weight of the box is 84 N. The system is in equilibrium and the springs are stretched, find the following with complete fbda) Force in spring AB and force in spring ACb) Resultant force of the systemc) Direction of resultant from the horizontal

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