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You need to push a cupboard by applying a horizontal force F on its side. The cupboard width is L, height is H and mass is m. You are applying the force at a point that is a height h above the floor. The coefficient of kinetic friction between the dresser and the floor is u. The ground exerts upward normal forces of magnitudes Np and No at the two ends of the dresser. a) How much force do you need to apply for the cupboard to move with constant velocity? b) What are the magnitudes of normal forces Np and Na if the cupboard legs are separated by a distance L? c) What is the maximum height h where you can push the cupboard before it tips over? F H Pl Np N.

Q2: You ride your bike along a straight line from your house to a store (1000 m) away. On your way back, you stop at a friend's house which is halfway between your house and the store. Find: a. What is your displacement? b. What is the distance you have traveled?

Spring is hung vertically, and an object of mass (m) is attached to its lower end. The spring stretches a distance (d) from its equilibrium position-How much work is done by the spring on the object as it stretches through this distance?

6.2 In class we noted that the potential energy of a spring is given by Vsp (2) and k the spring constant. Now consider an object of mass m (not attached to the spring) that drops from rest, from a height z; > z0; onto the spring (which is initially in equilibrium at its rest length). Both the gravitational force and the spring force now contribute to the potential energy, initial final k(z – zo)²/2, where zo is the spring's equilibrium point E Zo Z=0 Vgrav Vgrav + Vsp if z z0 V (2) = (1) (a) Sketch (by hand, but carefully) a potential energy diagram for V(2) as a function of height z. (b) Include (and mark) the object's initial energy in the sketch of part (a), then include a horizontal line for the object's conserved total energy E. Also mark the turning point zf for z < zO. (c) Calculate the turning point position zf where the object momentarily comes to rest." (d) Your graph of part (a) should have an equilibrium point. Mark this equilibrium point in your graph, then calculate its…

Please don't copy wrong solution ,Strictly use paper sheet to solve. Mechanical engineering: Thermodynamics. Q1:- A vertical hydraulic cylinder has a 125-mm diameter piston with hydraulic fluid inside the cylinder and an ambient pressure of 1 bar. Assuming standard gravity, find the piston mass that will create a pressure inside of 1500 kPa.

£1,7 0:-11 | ZAY O K/s Figure below shows a rod that is free to rotate about its center of mass. A force F, = 15 N is applied at d, = 4 m from the COM and another force F, = 17 N is applied at d, = 7 m from the COM, as shown. The magnitude of the total torque about the axis of rotation is: F1 600 COM 300 F2