A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward, and so on. Each step is 1 m long and requires 1 s. Plot the x-t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit 13 m away from the start. from Physics Motion in Straight Line Class 11 CBSE

A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward, and so on. Each step is 1 m long and requires 1 s. Plot the x-t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit 13 m away from the start.

As the length of one step of the drunkard is 1 m long and takes one second to take one step, therefore the speed of drunkard is 1m/s. When he walk 5 steps forward, its position is 5m at time 5s, then he walks 3 steps backward, therefore the position of drunkard at 8 sec. becomes 2m

space space space space space space space therefore

At t = 5s x = 5m
and   at t = 8s x = 2m
  at t = 13s x = 7m
  at t = 16s x = 9m
  at t = 24s x = 6m
  at t = 29s x = 11m
and so on

The position time graph is as shown in figure.
As the length of one step of the drunkard is 1 m long and takes one s

As the length of one step of the drunkard is 1 m long and takes one s

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In which of the following examples of motion, can the body be considered approximately a point object:

c) a spinning cricket ball that turns sharply on hitting the ground.

The size of a spinning cricket ball is comparable to the distance through which it turns sharply on hitting the ground. Therefore, the cricket ball cannot be considered as a point object.

230 Views

In which of the following examples of motion, can the body be considered approximately a point object:
(b) a monkey sitting on top of a man cycling smoothly on a circular track

The size of a monkey is very small as compared to the size of a circular track. Therefore, the monkey can be considered as a point-sized object on the track.

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A woman starts from her home at 9.00 am, walks with a speed of 5 km h^–1 on a straight road up to her office 2.5 km away, stays at the office up to 5.00 pm, and returns home by an auto with a speed of 25 km h^–1. Choose suitable scales and plot the x-t graph of her motion.

Speed space of space the space woman space equals space 5 space km divided by hr Distance space between space her space office space and space home space equals space 2.5 space km space Time space taken space equals space fraction numerator Distance space over denominator Speed end fraction equals fraction numerator 2.5 over denominator 5 end fraction space equals space 0.5 space straight h space equals space 30 space min space Given space that space the space woman space covers space the space same space distance space in space the space evening. space Speed space of space the space auto space equals space 25 space km divided by hr Time space taken space equals Distance over Speed equals fraction numerator 2.5 over denominator 25 end fraction equals 1 over 10 equals 0.1 space straight h space equals space 6 space min Distance minus time space graph space for space the space motion space of space woman space is space shown space below. space

240 Views

In which of the following examples of motion, can the body be considered approximately a point object:

(d) a tumbling beaker that has slipped off the edge of a table.

The size of a beaker is comparable to the height of the table from which it slipped. Hence, the beaker cannot be considered as a point object.

230 Views

In which of the following examples of motion, can the body be considered approximately a point object:
(a) a railway carriage moving without jerks between two stations

The size of a carriage is very small as compared to the distance between two stations. Therefore, the carriage can be treated as a point-sized object.

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