Consider a pulley system shown below. The coordinate x is the displacement of G. Assume there is no slip between the cord and the pulley, and disk and the ground. k m What is the potential energy of the system in terms of x?

Please solve this question quickly in statics

Determine the equivalent spring stiffness of the system using the displacement of the block as the generalized coordinate

Find distance which mass will move up in ejector mechanism

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A rod assembly rotates around the z-axis. The mass C is 10 kg and its initial velocity is 7 m/s. A moment and force both acts as shown in the figure where M = 8t2+5  N.m and F = 60 N. Find the velocity of mass C after 2 seconds.

Th lamp , mass = 10 Kg,  is suspended in the position shown. The undeformed length of spring AB is 0.84 m and the spring has a stiffness of K = 784 N/m. For L= 2.8 m       find Tension in cable AC , Internal force in spring AB, length of AC

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A disc with a radius of 0.53 m is fixed to rotate about its center. Three forces act on the object as noted below. What magnitude net torque acts on the object? F1 = 14.7 N tangentially applied to the outer edge. F2 = 11.1 N tangentially applied to the outer edge. F3 = 11.5 N tangentially applied at a distance 0 m above the axis of rotation at an angle theta = 34.3 degrees with respect to the vertical.   The location of F3 is at the center of the circle (a distance of 0 from the axis)

Consider a satellite moving in a torque-free environment. The inertial frame and satellite body-fixed frame are represented by N-frame and B-frame, where {^₁, ŵ2, ñ3} and {b₁, 62, 63} are right-handed vector bases fixed in N-frame and B-frame, respectively. {1;} is aligned with the principal axis of inertia, where ☎₁ and 3 are associated with the minimum and maximum moments of inertia, respectively. Denote the satellite angular velocity by w = wib; and the inertia tensor about the CoM by Ic. Suppose that I at time t = 0 is given by: Ic(t = 0) = 2ñ₁ñ₁ +2.25 ñ¿Ñ₂ +2.25 ñ³Ñ3 – 0.75 ñ¿ñ3 −0.75 3₂ (dimensionless) Express the satellite inertia tensor about the CoM in B-frame. Determine [BN] at time t = 0, i.c., the direction cosine matrix (DCM) that represents the orientation of B-frame relative to N-frame.