## Show that a system with excitation x[n] and response y[n] described by y[n] = nx[n], is linear, time variant and static.

Show that a system with excitation x[n] and response y[n] described by

y[n] = nx[n],

is linear, time variant and static. Show that the system described by y[n] = x [−n]  is time variant, dynamic noncausal and BIBO stable. Show that the system described by y(t) = sin (x(t))  is nonlinear, time invariant, BIBO stable, static and causal. Show that the system described by y(t) = x (sin(t))  is linear, time invariant, BIBO stable and noncausal. 1Show that the system described by the equation y [n]  =  e   x [n]  is nonlinear, time invariant, BIBO stable, static, causal and invertible.  14Show that a system described by y(t) =  t   2 x (t − 1)  is time variant, BIBO unstable, causal, dynamic and noninvertible.

### design suitable bearings to support the load for at least 5E8 cycles at 1 200 rpm using deepgroove ball bearings.

The shaft shown in Figure P11-4 was designed in Problem 10-19. For the data in row (a) of Table P11-1, and the corresponding diameter of shaft found in Problem 10-19,….

### Find the minimum film thickness for a long bearing with the following data: 30-mm dia, 130 mm long, 0.0015 clearance ratio, 1 500 rpm, ISO VG 100 oil at 200°F, and supporting a load of 7 kN.

1.       A paper machine processes rolls of paper having a density of 984 kg/m3. The paper roll is 1.50-m OD X 22-cm ID X 3.23-m long and is on a simply supported, 22-cm OD, steel….

### Find the minimum film thickness for a bearing with these data: 30-mm dia, 25 mm long, 0.0015 clearance ratio, 1 500 rpm, ON = 30, ISO VG 220 oil at 200°F.

1.       Problem 7-12 estimated the volume of adhesive wear to expect from a steel shaft of 40 mm dia rotating at 250 rpm for 10 years in a plain bronze….