Homework

Using the results obtained in Probs. 18.143 and show that for an axisymmetric body attached at its m

An instrument package is bolted to a shaker table as shown. The table moves vertically in simple har

A particle moves in simple harmonic motion. Knowing that the maximum velocity is and the maximum acc

A homogeneous sphere of mass and radius is welded to a of negligible mass, which is held by a ball-a

A simple pendulum consisting of a bob attached to a cord of length oscillates in a vertical

A 20 - lb block is initially held so that the vertical spring attached as shown is undeformed. Knowi

A simple pendulum consisting of a bob attached to a cord oscillates in a vertical plane with a peri

A lo-lb block rests on a 40 -lb plate that is attached to an unstretched spring with a constant of l

A solid cone of height with a circular base of radius is supported by a ball and socket at The cone

A homogeneous disk with a radius of 9 in. is welded to a rod with a length of 18 in. and of negligib

Consider a rigid body of arbitrary shape that is attached at its mass center and subjected to no fo

Applying the principle of conservation of energy, derive a third differential equation for the gener

The bob of a simple pendulum of length in. is released from rest when . Assuming simple harmonic mot

A 5-kg fragile glass vase is surrounded by packing material in a cardboard box of negligible weigh

The top shown is supported at the fixed point Denoting by , and the Eulerian angles defining the pos

A 32 -kg block is attached to a spring and can move without friction in a slot as shown. The block i

Refer to Probs. 18.143 and 18.144 (a) Show that the curve (called polhode) described by the tip of t

A particle moves in simple harmonic motion. Knowing that the amplitude is 0.21 in. and the maximum

Determine the amplitude and maximum acceleration of a particle that moves in simple harmonic motion

A solid cone of height with a circular base of radius is supported by a ball and socket at The cone

Determine the position, velocity, and acceleration of the block after it has been struck by the hamm

Referring to Prob. prove that the Poinsot ellipsoid is tangent to the invariable plane, show that th

The bob of a simple pendulum of length in. is released from rest when . Assuming simple harmonic mot

A homogeneous sphere of mass and radius is welded to a rod of negligible mass, which is held by a

The 8 -kg uniform bar is hinged at and is attached at to a spring of constant . If end is given a sm

Two small weights are attached at and to the rim of a uniform disk of radius and weight . Denoting

Two weights are attached at and to the rim of a uniform disk of radius . Determine the frequency of

Block can move without friction in the slot as shown and is acted upon by a vertical periodic force

A 6 -kg uniform cylinder is assumed to roll without sliding on a horizontal surface and is attached

Show that if the compound pendulum of Prob. 19.52 is suspended from instead of , the period of osci